Rewrite. Tap for more steps x = 3 x = 3. Apply the distributive property. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. heart. Solve for x. 100. 99. Step 2. Simultaneous equation.1 Find the Vertex of y = 3x 2-x-7 Parabolas have a highest or a lowest point called the Vertex . The last term, "the constant", is -7 Step-1 : Multiply the coefficient of the … Write in Standard Form 3x-2x^2=7. Multiply both sides of the equation by 3 2 3 2. x2−x−2 x 2 - x - 2. Polynomial Division Calculator. The unknowing Read More.2. This requires that you use -(2/3) divided by 2 =-1/3 in the squared expression. Quadratic Formula.i. Step 2. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−8 = −24 a ⋅ c = 3 ⋅ - 8 = - 24 and whose sum is b = 2 b = 2. Transcript. arrow right.00/month. Step 2: Change the sign of a number in the divisor and write it on the left side. Solution First, we add -x and -7 to each member to get.. Simplify and combine like terms.00/month.1 Factoring 3x 2-2x-7 The first term is, 3x 2 its coefficient is 3 . Polynomials are often written in the form: a₀ + a₁x + a₂x² + a₃x³ + + aₙxⁿ, where the a's are coefficients and x is the variable. 3x = -9. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. quadratic-equation-calculator. Since the answer is right Free functions range calculator - find functions range step-by-step Step 1: Write down the coefficients of 2x2 +3x+4 into the division table. Simplify and combine like terms. Matrix. Tap for more steps x(x−2)(x −1) = 0 x ( x - 2) ( x - 1) = 0. Factor.. d dx ( x2 + y2 = 16) He used to face problems in topics such as trinomial calculator and algebra formulas but all his questions were answered by this one easy to use tool known as Algebrator. It works with polynomials with more than one variable as well. Practice, practice, practice. The quotient is 2x +7 and the remainder is 18. 2 +2x−8 & (x+7) =(x−(−7)) Here, p=−7 Now, lets check: f(−7)=(−7) 3 −3(−7) 2 +2(−7)−8 f(−7)=(−343)−3(49)−14−8 f(−7)=−343−147−14−8 f(−7)=−512 , which is not equal to 0 . 1 2 3 0 Divide \frac{2}{3}, the coefficient of the x term, by 2 to get \frac{1}{3}.766 x = (-3+√65)/4= 1. Step 3. Then add the square of \frac{1}{3} to both sides of the equation.2.
 Tap for more steps 2x(2x)+2x⋅7−7(2x)−7⋅ 7 2 x ( 2 x) + 2 x ⋅ 7 - 7 ( 2 x) - 7 ⋅ 7
. Solve 2x^2-3x-7=0 | Microsoft Math Solver. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly.This is achieved by dividing both sides of the equation by 3 𝑑𝑥 = 5﷮6﷯ ﷮﷮ 2 + 6𝑥﷮1 + 2𝑥 + 3 𝑥﷮2﷯﷯﷯ . Solve for x 3x-7=2. f (2x2 −1) = 3(2x2 −1)+2 f ( 2 x 2 - 1) = 3 ( 2 x 2 - 1) + 2. x= 87±12 2 I will let you finish this off Explanation: Possible factors of 15 are 1 and 15 or 3 and 5 Possible factors of 4 are 1 and 4 or 2 and 2 Let 3x2-2x-4 Final result : 3x2 - 2x - 4 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 2x) - 4 Step 2 :Trying to factor by splitting the middle term 2. Here are some examples: y=2x^2+1, y=3x-1, x=5, x=y^2. To As an example, suppose we solved 2x+3=7 and got x=2. It is mentioned that the simplest form of this quotient has a numerator of (2x + 1)(x - 9) and a denominator of x Two numbers r and s sum up to 3 exactly when the average of the two numbers is \frac{1}{2}*3 = \frac{3}{2}. Multiply together to get 4. The unknowing Read More.1. Evaluate. 33(x2)3 3 3 ( x 2) 3. The first number in the dividend is put into the first position of the result area (below the horizontal line). Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .arbeglA . Step 7: Read the result from the synthetic table. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Steps Using the Quadratic Formula. The rule states that the square of the sum (or difference) of two terms is equal to the sum (or difference) of the squares of the terms plus twice the product of the terms. Simultaneous equation. Tap for more steps 12x2 − 13x−14 12 x 2 - 13 x - 14.3. Math can be an intimidating subject. which expression is equivalent to 7x-5-3x-2 -2x - 7 2x - 7 -2x - 3 -2x + 3 . Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. y = 2x − 7 y = 2 x - 7. Linear equation. x2−x−2 x 2 - x - 2. Algebra. Set up the composite result function.g. Apply the distributive property. 3x^2-7x+2=0. Limits.1x2 − 100 dollars Expand (3x+4)(2x− 7) ( 3 x + 4) ( 2 x - 7) using the FOIL Method.1. Then simplify each fraction and multiply across to form the expression. 3x − 2x2 = 7 3 x - 2 x 2 = 7. Algebra Write in Standard Form 3x-2x^2=7 3x − 2x2 = 7 3 x - 2 x 2 = 7 Subtract 7 7 from both sides of the equation. The unknowing Read More. en. 3x−2x2 −7 = 0 3 x - 2 x 2 - 7 = 0 To write a polynomial in standard form, simplify and then arrange the terms in descending order. Substitute the values , , and into the quadratic formula and solve for . Tap for more steps y = 15 y = 15. Tap for more steps Simplify (3x-2) (x+1) (3x − 2) (x + 1) ( 3 x - 2) ( x + 1) Expand (3x−2)(x+ 1) ( 3 x - 2) ( x + 1) using the FOIL Method. Solve Using the Quadratic Formula 3x-2x^2=7. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Write the factored form using these integers. Learn more about: Get math help in your language. Tap for more steps x(x2 − 3x+2) = 0 x ( x 2 - 3 x + 2) = 0. The Factoring Calculator transforms complex expressions into a product of simpler factors. Integration. 3x2 + 2x − 8 3 x 2 + 2 x - 8. y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. The result can be shown in multiple forms. (3x)2 ( 3 x) 2. Algebra. Step 5. Share. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Transcript. en. y = 2x + 13. So, According to the Factor theorem, we got (x+7) is not a factor of f(x)=x . Aby zapisać "większy-równy", wpisz >=, dla "mniejszy-równy" wpisz <=, dla 5 (x+8)=2x-7+8 (x-1) One solution was found : x = 11 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : (x+2) (x-3) (x+4)-126=0 Three solutions were found : x = 5 x = (-8-√-56)/2=-4-i√ 14 = -4. Step 1. x ^ 2 -\frac{2}{3}x -\frac{2}{3} = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Simplify the right side. If any individual factor on the left side of the equation is equal to 0 0 So, the quotient is \( 2x^2−13x+78 \), and the remainder is −395.1. Substitute the values a = 1 a = 1, b = −3 b = - 3, and c = −7 c = - 7 into the quadratic formula and solve for x x. Each new topic we learn has symbols and problems we have never seen. 3x-2. Enter a problem Cooking Calculators. Steps for Completing the Square. Follow About absolute value equations.2. Polynomial Division Calculator. The result can be shown in multiple forms. Solve your math problems using our free math solver with step-by-step solutions. y-intercept: (0,2) ( 0, 2) Any line can be graphed using two points. Step 7: Read the result from the synthetic table. x→−3lim x2 + 2x − 3x2 − 9.0000-3. The quadratic formula gives two solutions, one … Get math help in your language. Step 5. Multiply (3x+2) (4x-7) (3x + 2) (4x − 7) ( 3 x + 2) ( 4 x - 7) Expand (3x+2)(4x− 7) ( 3 x + 2) ( 4 x - 7) using the FOIL Method.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Matrix. HOPE It Helps U. Compare to the standardised equations: y = ax2 +bx +c ; x = −b ± √b2 − 4ac 2a. 3x^2+2-7x=0. The unknowing Read More. x2-2x-3 Final result : (x + 1) • (x - 3) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. View solution steps. Solving quadratics by factorizing (link to previous post) usually works just fine. If we want to plug 2 back into the original equation to check our work, we can do so: 2x+3=7 @ 2. 22 2 2. Solving quadratics by factorizing (link to previous post) usually works just fine. Divide Using Synthetic Division (x^3+3x^2-x-3)÷(x-1) Step 1. Use the quadratic formula to find the solutions. Steps Using Direct Factoring Method. 5/5. Directrix: y = −33 4 y = - 33 4. Save to Notebook! Sign in. Selanjutnya, perhatikan pertidaksamaan |2 x - 7| < -5. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Apply the distributive property. 1-36-35. 2^2. dxd (x − 5)(3x2 − 2) Integration. The quotient expression 2x + 13 is the value of y i. Step 1: Enter the expression you want to divide into the editor. en. Algebra. Learn more about: 99. Solve an absolute value equation using the following steps: Get the absolve value expression by itself. Simultaneous equation. Solve for x x^2-3x-7=0. Limits. Factor out of . since when we put i we get answer in negative so it is neglected. Get help on the web or with our math app. Tap for more steps Direction: Opens Up. Pre-Algebra. This creates a ± ± on the right side of the equation because |x| = ±x | x | = ± x. Solve.7417i Step by step A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c Save to Notebook! Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Related Symbolab blog posts. Simplify any resulting mixed numbers. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. 9x2 9 x 2. \frac{3x^{2}+2x}{3}=\frac{y+7}{3} Divide both sides by 3.1. Simplify and combine like terms. Practice, practice, practice. Substitute -1+2\sqrt{2} for x_{1} and -1-2\sqrt{2} for x_{2}.1 Factoring x2+3x-7 2x2+3x-7=0 Two solutions were found : x = (-3-√65)/4=-2.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Simplify (2x+5)(3x-7) Step 1. 2(5x+4)-3x How to simplify your expression. Add 7 7 to both sides of the equation.3. D = b2 − 4ac = ( − 2)2 −4 ⋅ 3 ⋅ 7 = − 80. Step 2: 2. Practice, practice, practice. Step 1. Use the quadratic formula to find the solutions. 3x−2x2 −7 = 0 3 x - 2 x 2 - 7 = 0. Tap for more steps 3x+10x− 14 3 x + 10 x - 14. Tap for more Oblicz to! postara się rozwiązać wpisane równanie i pokaże sposób, w jaki to zrobił, krok po kroku. Works in Spanish, Hindi, German, and more. Algebra. Solve your math problems using our free math solver with step-by-step solutions. Solve for x 2/3x-2=7. x3 − 3x2 + 2x = 0 x 3 - 3 x 2 + 2 x = 0. Raise 3 3 to the power of 2 2. Tap for more steps Step 1. Online math solver with free step by step solutions to algebra, calculus, and other … An example of a polynomial of a single indeterminate x is x² − 4x + 7. Integration.5, 5 2𝑥﷮ 𝑥﷮2﷯ + 3𝑥 + 2﷯ Solving integrand 2𝑥﷮ 𝑥﷮2﷯ + 3𝑥 + 2﷯ = 2𝑥﷮ 𝑥﷮2﷯ + 2𝑥 + 𝑥 + 2﷯ = 2𝑥﷮𝑥 𝑥 + 2﷯ + 1 𝑥 + 2﷯﷯ = 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ We can write it as 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ = 𝐴﷮ 𝑥 + 2﷯﷯ + 𝐵﷮ 𝑥 + 1﷯﷯ 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ = 𝐴 𝑥 Example 3 Solve 4x + 7 = x - 2. 9×4-4/4. Limits. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.g. 3. Solve your math problems using our free math solver with step-by-step solutions. Related Symbolab blog posts. Factor x^3-x^2-2x. Tap for more steps x = 3,−5 3 x = 3, - 5 3. Starting at $5.2. The perfect square rule is a technique used to expand expressions that are the sum or difference of two squares, such as (a + b)^2 or (a - b)^2. Arithmetic. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. Combine 2 3 2 3 and x x. x^2+2x+1=3x-10; 2x^2+4x-6=0; Show More; Description. Expand and simplify polynomials. star. putting ii. Tap for more steps 3x2 − 1x−6x+2 3 x 2 - 1 x - 6 x + 2. The unknowing Read More. Example: 2x-1=y,2y+3=x. Therefore, the Answer is: \( \dfrac{2 x^{3} - 3 x^{2} + 13 x - 5}{x + 5} = {2 x^{2} - 13 x + 78+\dfrac{(-395)}{x + 5}} \) Try a polynomial long division with remainders to attain the complete result table for quotient and remainder. 100. Select two x x values, and plug them into the equation to find the corresponding y y values. Because D is less than zero, there are no real roots. Differentiation. Simplify by adding zeros.7417i x = (-8+√-56)/2=-4+i√ 14 = -4. Difference of Squares: a2 - b2 = (a + b)(a - b) a 2 - b 2 = ( a + b) ( a - b) Step 2: Algebra Simplify (3x+2) (x-7) (3x + 2) (x − 7) ( 3 x + 2) ( x - 7) Expand (3x+2)(x− 7) ( 3 x + 2) ( x - 7) using the FOIL Method. Where a = 3; b = − 4; c = − 7 giving: x = +4 ± √( −4)2 Find f (g (x)) f (x)=3x+2 , g (x)=2x^2-1. Expand using the FOIL Method. Move all terms not containing x x to the right side of the equation. Enter a problem Cooking Calculators. Middle School Math Solutions - Polynomials Calculator, Adding Polynomials. About quadratic equations Quadratic equations have an x^2 term, and can be rewritten to have the form: a x 2 + b x + c = 0. Subtract 2x and 7 from both sides.

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$$ Now as the polynomial is known to evaluate to $0$, you know the value of the RHS. Quadratic equation The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. Type a math problem Solve Examples Quadratic equation Trigonometry Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Online math solver with free step by step solutions to algebra, calculus, and other math problems. 3x+2=2x+7.eiserkyw an ,enzcifarg einaząiwzor einatsoz enazakop ,ogenzcilobmys ainaząiwzor ćźelanz ęis adu ein ileżeJ . 3x … 3x^{2}+2x-7=y . Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Use the quadratic formula to find the solutions. 3x − 2x2 = 7 3 x - 2 x 2 = 7. Consider the equation. Math can be an intimidating subject. 2x+3=4 One solution was found : x = 1/2 = 0.2. 36-1. 4x + 7 - x - 7 = x - 2 - x - 1.3. Step 3. Since the answer is right Free functions range calculator - find functions range step-by-step Step 1: Write down the coefficients of 2x2 +3x+4 into the division table. Differentiation. x ^ 2 +2x -7 = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. 3x^{2}=-2x+7. 2x2 − 3x+7 2 x 2 - 3 x + 7. 2x2 − 3x − 2 2 x 2 - 3 x - 2. ∫ 01 xe−x2dx. 2(5x+4)-3x How to simplify your expression. Each new topic we learn has symbols and problems we have never seen. f (x) = 3x + 2 f ( x) = 3 x + 2 , g(x) = 2x2 − 1 g ( x) = 2 x 2 - 1. Apply the product rule to 3x2 3 x 2. Factor. x2+3x-7=0 Two solutions were found : x = (-3-√37)/2=-4. We just calculate x: Our equation is of the form ax^2+bx+c=0, therefore, we can use 3x+2=2x+7. Enter a problem Cooking Calculators. We see that a = 3,b = −2 and c = 7. 27(x2)3 27 ( x 2) 3. Show more. 9x^2-4/x^2. Step 2: Click the blue arrow to submit and see the result! Steps Using the Quadratic Formula Steps for Completing the Square View solution steps Graph Quiz Quadratic Equation 5 problems similar to: Similar Problems from Web Search The quadratic formula is x = −b ± √D 2a, with D = b2 − 4ac. Tap for more steps Step 1. Get help on the web or with our math … 2. Step 1. Steps for Completing the Square.1 Factoring 3x 2-2x-7 The first term is, 3x 2 its coefficient is 3 . You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. x2 − 3x − 7 = 0 x 2 - 3 x - 7 = 0. Solve: 5 x − 2 (2 x − 7) = 2 (3 x − 1) + 7 2 Algebra. Solution First, we add -x and -7 to each member to get. Divide both sides of the equation by 3 to have 1 as the coefficient of the first term : x 2-(2/3)x-(7/3) = 0 Add 7/3 to both side of … 3x^{2}+2x-y-7=0 All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}.stneiciffeoc rehto eht htiw 1 naht rehto srotcaf nommoc yna erahs ton seod os rebmun emirp a si 7 . Limits. x^{2}+\frac{2}{3}x=\frac{y+7}{3} Dividing by 3 undoes the multiplication by 3. Two numbers r and s sum up to \frac{1}{3} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{3} = \frac{1}{6}. Factor out of . polynomial-addition-calculator. Free math problem solver answers your algebra y = 2x2 + 3x − 7 y = 2 x 2 + 3 x - 7. Here are some examples: y=2x^2+1, y=3x-1, x=5, x=y^2. Solve quadratic equations step-by-step. Pre-Algebra. The middle term is, -2x its coefficient is -2 . Next, combining like terms yields.1 Factoring 3x 2-2x-7 The first term is, 3x 2 its coefficient is 3 . Math can be an intimidating subject. Factor 2x^2-3x+7. Math can be an intimidating subject. Tap for more steps 3x⋅x+3x⋅1−2x−2⋅1 3 x ⋅ x + 3 x ⋅ 1 - 2 x - 2 ⋅ 1.1 Multiply (x-3) by (x-3) The rule says : To multiply exponential expressions x-4=26 One solution was found : x = 30 Rearrange: Rearrange the equation by subtracting what is to the right of Solve Using the Quadratic Formula 2x^2-3x-7=0. Select two x x values, and plug them into the equation to find the corresponding y y values. This step makes the left hand side of the equation a perfect square. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−5 = −15 a ⋅ c = 3 ⋅ - 5 = - 15 and whose sum is b = −2 b = - 2. 3x^{2}-2x+7=0. -2x^{2}+3x=7 Quadratic equations such as this one can be solved by completing the square. Use the slope-intercept form to find the slope and y-intercept. Apply the product rule to 3x 3 x. Tap for more steps 6x2 − 13x−28 6 x 2 - 13 x - 28. Graph y=3x+2. Multiply by . −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 3 a = 3, b = −2 b = - 2, and c = −7 c = - 7 into the quadratic formula and solve for x x.1. x^2-x-2. Tap for more steps y = 0 y = 0. Tap for more steps Solve your math problems using our free math solver with step-by-step solutions." To relieve his loneliness of one-sided love from Whan, Guy's hobby is playing games until Guy meets a kind sister in the game named "Yuri" which he later finds out Algebra Calculator - get free step-by-step solutions for your algebra math problems To simplify an expression with fractions find a common denominator and then combine the numerators. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Solve linear, quadratic, biquadratic.g. SOLVING EQUATIONS USING THE MULTIPLICATION PROPERTY. Get help on the web or with our math app. Starting at $5., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G How to Use the Calculator Type your algebra problem into the text box. Tap for more steps Slope: 2 2. Simplify. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Divide by . Factor out the greatest common Multiply -2x by each term in the trinomial: -2x * 3 = -6, -2x * 4x = -8, and -2x * -7 = 14x. ∫ 01 xe−x2dx.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Solve your math problems using our free math solver with step-by-step solutions. Case 2 (more than one degree higher): When the numerator exceeds the denominator with more than one power e. Matrix. But what if the quadratic Simplify (2x-7) (2x+7) (2x − 7) (2x + 7) ( 2 x - 7) ( 2 x + 7) Expand (2x−7)(2x+ 7) ( 2 x - 7) ( 2 x + 7) using the FOIL Method. Simplify and combine like terms. en.2.1 Factoring x2-2x-3 The first term is, x2 its coefficient is 2x2-2x-3 Final result : 2x2 - 2x - 3 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 2x) - 3 Step 2 :Trying to factor by splitting the Divide the equation given by 3 to get x^2 -(2/3)x+7/3 =0 Use completing the square to solve. Multiply the exponents in (x2)3 ( x 2) 3. In this case, the divisor is x −2 so we have to change −2 to 2. ax2 + bx+c = 0 a x 2 + b x + c = 0 Reorder 3x 3 x and −2x2 - 2 x 2. Example: 2x^2=18. 3x(x-2)-1(x-2)=0 (3x-1)(x-2)=0.$$ To get a perfect identity, it now suffices to add a well-chosen constant $$\frac{3x^2-2x+7}3-\frac{20}9=x^2-\frac23x+\frac19. Step 2. Factor out the Algebra. absolute and radical equations, step-by-step. Works in Spanish, Hindi, German, and more. 2x2 − 3x + 7 2 x 2 - 3 x + 7. Add up to 5. verified Solve (2x 2 + 7x + 4) / x - 3 to find the slant asymptote. This calculator will try to simplify a polynomial as much as possible. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more.Popular Problems Algebra Solve Using the Quadratic Formula 3x^2-2x-7=0 3x2 − 2x − 7 = 0 3 x 2 - 2 x - 7 = 0 Use the quadratic formula to find the solutions. Popular Problems Algebra Solve Using the Quadratic Formula 3x^2-2x-7=0 3x2 − 2x − 7 = 0 3 x 2 - 2 x - 7 = 0 Use the quadratic formula to find the solutions.1. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. 7x 6 / 2x, in such a scenario, slant asymptote does not occur. Simplify each term. Solve for x. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. In this case, the divisor is x −2 so we have to change −2 to 2. For example, the value of 2x^2- x + 7 at x = -3 is 2(-3)^2-(-3)+7=2*9+3+7 = 18+3+7=28 The value of a polynomial in two or more variables is obtained in a similar way. Simplify each term. If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that. Select a few x x values, and plug them into the equation to find the Solving Equations with Variables on Both Sides.This is achieved by dividing both sides of the equation by 3 Solve by Factoring x^3-3x^2+2x=0. 𝑑𝑥 = 𝟓﷮𝟔﷯ 𝒍𝒐𝒈﷮ 𝟑 𝒙﷮𝟐﷯+𝟐𝒙+𝟏﷯﷯− 𝟏𝟏﷮𝟑 ﷮𝟐﷯﷯ 𝒕𝒂𝒏﷮−𝟏﷯ ﷮ 𝟑𝒙 + 𝟏﷮ ﷮𝟐﷯﷯﷯﷯ + 𝑪. absolute and radical equations, step-by-step. Tap for more steps 2x⋅x+2x⋅7−3x−3⋅7 2 x ⋅ x + 2 x ⋅ 7 - 3 x - 3 ⋅ 7. f (g(x)) f ( g ( x)) Evaluate f (2x2 −1) f ( 2 x 2 - 1) by substituting in the value of g g into f f. To graph a point, enter an ordered pair with the x-coordinate and y-coordinate separated by a comma, e. leading-term-polynomial-calculator. (3x+2)(2x-7) Q: The monthly profit from the sale of a product is given by P = 16x − 0. Solve linear, quadratic, biquadratic. Expand by multiplying each term in the first expression by each term in the second expression. Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions. Simplify (3x)^2. How to factor expressions. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅2 = 6 a ⋅ c = 3 ⋅ 2 = 6 and whose sum is b = −7 b = - 7. Select two x x values, and plug them into the equation to find the corresponding y y values. 3x^{2}-2x+7=0. Algebra. en. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. x→−3lim x2 + 2x − 3x2 − 9. factor quadratic x^2-7x+12; expand polynomial (x-3)(x^3+5x-2) remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools. Each new topic we learn has symbols and problems we have never seen. Related Symbolab blog posts.2.e.) Take the Square Root. Algebra. Factor 2x^2-3x-2. I verified them . Tap for more steps 4x2 − 49 4 x 2 - 49. Solution for Express as a trinomial. Free math problem solver answers your Remove the absolute value term. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Show More 3x+2/x-7=0. Dividing two negative values results in a positive value.2 petS spets erom rof paT . Step 4. Step 2. Related Symbolab blog posts. Related Symbolab blog posts. Step 5. For every input Read More. Math can be an intimidating subject. Practice, practice, practice. Find the properties of the given parabola. 2x^2+x(4x+3) Simplifying Expressions Video Lesson. Differentiation., . A quadratic equation has at most two solutions.2.metsys a ro ytilauqeni ,noitauqe na evloS . Step 2. 3x − 7 = 2 3 x - 7 = 2. Subtract 7 7 from both sides of the equation. Tap for more steps 2x2 + x−4x−2 2 x 2 + x - 4 x - 2. Tap for more steps 2x 3 = 9 2 x 3 = 9. 3 −3x . Khan Academy Video: Simplifying Expressions; Need more problem types? 3(x-2)=x-7 One solution was found : x = -1/2 = -0. Multiply by . Step 3. Simplify any resulting mixed numbers. Math can be an intimidating subject.2. Simplify (3x-2)(2x^2+5x-1) Step 1. If we want to plug 2 back into the original equation to check our work, we can do so: 2x+3=7 @ 2. Consider the equation. 5. Simplify (3x^2)^3. Related Symbolab blog posts. Simplify (2x-3) (x+7) (2x − 3) (x + 7) ( 2 x - 3) ( x + 7) Expand (2x−3)(x+ 7) ( 2 x - 3) ( x + 7) using the FOIL Method. Tap for more steps Step 1. Add and . Factor out of . The online discriminant calculator shows the nature of roots of the quartic equation and if you want to determine the nature of roots for the cubic and quadratic equations, then this online tool is handy. f (x) = x3 − 3x − 2 f ( x) = x 3 - 3 x - 2. Calculator Examples » Math Symbols Algebra Solve for x Calculator Step 1: Enter the Equation you want to solve into the editor. y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. Step 1: Enter the expression you want to divide into the editor. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. equation-calculator.1. Tap for more steps 3x2 − 19x−14 3 x 2 - 19 x - 14. Arithmetic. SOLVING EQUATIONS USING THE MULTIPLICATION PROPERTY. Exact Form The value of a polynomial in the variable x at the real number x = a is the real number obtained by replacing each occurrence of x in the polynomial by a. Solve. Next, combining like terms yields. The complete solution is the result of both the positive and negative portions of the solution. A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, and multiplication. Step 1. (3x2)3 ( 3 x 2) 3. Factor 3x^2-7x+2. Get help on the web or with our math app. x^2-x-2. Get math help in your language. Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1) (x+4) Implicit Differentiation Calculator. Online math solver with free step by step solutions to algebra, calculus, and other math problems. 3x^{2}+2x=y+7 . −b±√b2 −4(ac) 2a - b … 3x+2(5x-7) Final result : 13x - 14 Step by step solution : Step 1 :Equation at the end of step 1 : 3x + 2 • (5x - 7) Step 2 :Final result : 13x - 14 Processing ends successfully Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations. Check out all of our online calculators here. Simplify each term. Limits. Graph y=2x-7. Step 1. 4x + 7 - x - 7 = x - 2 - x - 1. Substitute the values a = 3 a = 3, b = 2 b = 2, and c = 7 c = 7 into the quadratic formula and solve Algebra. 3x2 − 2x − 5 3 x 2 - 2 x - 5. Tap for more steps 3x(2x)+3x⋅−7+4(2x)+ 4⋅−7 3 x ( 2 x) + 3 x ⋅ - 7 + 4 ( 2 x) + 4 ⋅ - 7. 3(x+2)=2x-1 One solution was found : x = -7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Two numbers r and s sum up to 2 exactly when the average of the two numbers is \frac{1}{2}*2 = 1. Tap for more steps 3x⋅x+3x⋅−7+2x+2⋅ −7 3 x ⋅ x + 3 x ⋅ - 7 + 2 x + 2 ⋅ - 7 Simplify and combine like terms. Evaluate. An example with three indeterminates is x³ + 2xyz² − yz + 1.. Step 1.541 x = (-3+√37)/2= 1. Vertex: (−3 4,−65 8) ( - 3 4, - 65 8) Focus: (−3 4,−8) ( - 3 4, - 8) Axis of Symmetry: x = −3 4 x = - 3 4. Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations. Enter a problem Cooking Calculators. Learn the basics, check your work, gain insight on different ways to solve problems. Solve your math problems using our free math solver with step-by-step solutions. Swap sides so that all variable terms are on the left hand side.

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Set up two equations and solve them separately. Enter a problem Cooking Calculators. leading\:term\:(2x+3)^{3}-4x^{3} leading\:term\:3x+8x^{2}-4(x^{2}-1) Show More; Description. What is a polynomial? A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, and multiplication. Related Symbolab blog posts. Factor. Find the point at x = 1 x = 1. Learn the basics, check your work, gain insight on different ways to solve problems. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. To graph a point, enter an ordered pair with the x-coordinate and y-coordinate separated by a comma, e. Steps Using Direct Factoring Method.2 Solving 3x 2-2x-7 = 0 by Completing The Square .Qi | IYIQi no eerf rof eltitbus hsilgnE htiw enilno 8 edosipE appO retsgnaG raeD yM noogal iaht ,amarD-iahT tsetal eht hctaW 41 - x 91 - 2 x 3 41−x91 − 2x3 spets erom rof paT . Practice, practice, practice. Related Symbolab blog posts. But what if the quadratic equation Read More. Multiply by . Factor 3x^2+2x-8. Show more. 35. Steps Using the Quadratic Formula. Free Functions Concavity Calculator - find function concavity intervlas step-by-step. Example: 4x^2-2x-1=0. x=1/3. Type in any equation to get the solution, steps and graph.. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. factor quadratic x^2-7x+12; expand polynomial (x-3)(x^3+5x-2) remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools. Step 1. To write a polynomial in standard form, simplify and then arrange the terms in descending order. Step 2. Factor out of . Porady: • Możesz używać znaków <,>,=. Move all terms not containing x x to the right side of the equation. Last, we divide each member by 3 to obtain. 3x = -9. Combine like terms from the products of the previous steps to get the final expanded expression: 3 + 14x, Simplify the terms: 3 + 14x. Sehingga, himpunan selesaian dari pertidaksamaan |3 x + 2|/4 ≤ 1 adalah { x | -2 ≤ x ≤ 2/3, x bilangan real}. Step 2. Tap for more steps Step 2. 3x^{2}=-2x+7. There are four roots of a quartic equation. 13x−14 13 x - 14. Graph p (x)=3x (x-2) (2x-7) p(x) = 3x(x − 2) (2x − 7) p ( x) = 3 x ( x - 2) ( 2 x - 7) Find the point at x = 0 x = 0. Tap for more steps 3x⋅x+3x⋅−7+2x+2⋅ −7 3 x ⋅ x + 3 x ⋅ - 7 + 2 x + 2 ⋅ - 7. y = 2x − 7 y = 2 x - 7. Linear equation. Tap for more steps 3x = 9 3 x = 9. To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x. en. Simultaneous equation. The middle term is, -2x its coefficient is -2 . en.3. 22 2 2. Use the slope-intercept form to find the slope and y-intercept. Calculadora de álgebra - obter soluções passo a passo gratuitas para seus problemas matemáticos de álgebra 5x-6=3x-8; x^2-x-6=0; x^4-5x^2+4=0 \sqrt{x-1}-x=-7 \left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5} Show More; Description. Get detailed solutions to your math problems with our Implicit Differentiation step-by-step calculator.1. Free math problem solver answers your algebra, geometry, trigonometry, calculus x ^ 2 -\frac{7}{3}x +\frac{2}{3} = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Polynomials are often written in the form: a₀ + a₁x + a₂x² + a₃x³ + + aₙxⁿ, where the a's are coefficients and x is the variable. Factor 3x^2-2x-5.0000+3.ii. The quotient is 2x +7 and the remainder is 18. 3x2 − 7x + 2 3 x 2 - 7 x + 2. Try it and I'm sure you'll have a good day tomorrow . Raise 3 3 to the power of 3 3. In order to complete the square, the equation must first be in the form x^{2}+bx=c. Tap for more steps 2x2 + 11x−21 2 x 2 + 11 x - 21. Get step-by-step answers and hints for your math homework problems. Explanation: Given: 3x2 −2x = 2x +7. x-2=0. Algebra Calculator - get free step-by-step solutions for your algebra math problems 3x+2(5x-7) Final result : 13x - 14 Step by step solution : Step 1 :Equation at the end of step 1 : 3x + 2 • (5x - 7) Step 2 :Final result : 13x - 14 Processing ends successfully More Items Share Get Step by Step Now. Enter a problem Cooking Calculators. Karena nilai mutlak dari setiap bilangan Differentiation. 3x2 − 4x −7 = 0. Transcript. 𝑑𝑥− 11﷮3﷯ ﷮﷮ 1﷮1 + 2𝑥 + 3 𝑥﷮2﷯﷯﷯ . Factor out the greatest common factor If we multiply a posiitive number by 3 (x-3) (x-3) Final result : (x - 3)2 Step by step solution : Step 1 :Multiplying Exponential Expressions : 1.smret yfilpmiS . The equivalent expression after multiplying and combining like terms is + 14x. View solution steps. 3x^2-6x-x+2=0. Free math problem solver answers Calculadora de álgebra - obter soluções passo a passo gratuitas para seus problemas matemáticos de álgebra 5x-6=3x-8; x^2-x-6=0; x^4-5x^2+4=0 \sqrt{x-1}-x=-7 \left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5} Show More; Description. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The exact steps might involve factorization and cancellation of common terms. Tap for more steps 3x2 + 3x−5x−5 3 x 2 + 3 x - 5 x - 5. Solve your math problems using our free math solver with step-by-step solutions.1. Matrix. Enter a problem Cooking Calculators. Solve for x:3 x^2 - 7 x + 6 = 0Divide both sides by 3:x^2 - (7 x)\/3 + 2 = 0Subtract 2 from both sides Step 1: Enter the expression you want to factor in the editor. Factor out of . Simplify (3x+2) (x-7) (3x + 2) (x − 7) ( 3 x + 2) ( x - 7) Expand (3x+2)(x− 7) ( 3 x + 2) ( x - 7) using the FOIL Method. Need more problem types? A function basically relates an input to an output, there's an input, a relationship and an output. Graph y=2x-7. 3x2 + 2x+7 = 0 3 x 2 + 2 x + 7 = 0. Set x3 −3x− 2 x 3 - 3 x - 2 equal to 0 0. We can however calculate the imaginary solutions. (x^2+2x-1)+(2x^2-3x+6) (2x^3+2x-1)+(2x^2-5x-6) 4x+(4x-2)+(x^2-3) Show More; Description. Quadratic equation The values of x that satisfy the … Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step. Solve for x x. putting I. To simplify an expression with fractions find a common denominator and then combine the numerators. Simplify and combine like terms. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Middle School Math Solutions - Polynomials Calculator, Adding Polynomials. x3 − 3x−2 = 0 x 3 - 3 x - 2 = 0. Factor out the $$\frac{3x^2-2x+7}3=x^2-\frac23x+\frac73. 3x^{2}=-2x+7. Vertical asymptote: Algebra. Practice, practice, practice. Equation at the end of step 2 : 3x 2 - x - 7 = 0 Step 3 : Parabola, Finding the Vertex : 3.2. equation-calculator. The last term, "the constant", is -7 Step-1 : Multiply the coefficient of the first term by the constant 3 • -7 = -21 Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is -2 . Add 3x 3 x and 10x 10 x. 32x2 3 2 x 2. Place the numbers representing the divisor and the dividend into a division-like configuration. To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x. 3±√(−3)2 −4 ⋅(1⋅−7) 2⋅1 3 ± ( - 3) 2 - 4 ⋅ Linear equation., . Simplify . I discovered a some software programs that are appropriate. Remove unnecessary parentheses. 3x2 + 2x = −7 3 x 2 + 2 x = - 7. 2x^2+x(4x+3) Simplifying Expressions Video Lesson. Untuk menyelesaikan pertidaksamaan |3x + 2| / 4 ≤ 1, kita harus mengisolasi simbol nilai mutlak di satu ruas. Tap for more steps 3x2 − 4x+6x−8 3 x 2 - 4 x + 6 x - 8. 9×1/9-4/1/9. 3x-1=0. Explore similar answers. The calculator will show you all the steps and easy-to-understand explanations of how to simplify polynomials. Simplify 3x+2 (5x-7) 3x + 2 (5x − 7) 3 x + 2 ( 5 x - 7) Simplify each term. Get step-by-step answers and hints for your math homework problems. The solution to this equation is 12. Ex 7. 2 +2x−8. Tap for more steps Step 2. Find the Roots (Zeros) f (x)=x^3-3x-2.1.2. Step 3. Tap for more steps 3x2 + x−2 3 x 2 + x - 2. en. Integration. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Apply the distributive property. Related Symbolab blog posts. Each new topic we learn has symbols and problems we have never seen. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. To As an example, suppose we solved 2x+3=7 and got x=2. hence ii will be the ans. High School Math Solutions - Quadratic Equations Calculator, Part 2. Free math problem solver answers your Therefore, we first rewrite the problem as (3x^2-27x)/(2x^2+13x-7) * (4x^2-1)/3x. Example: 3x^2-2x-1=0 (After you click the example, change the Method to 'Solve By Completing the Square'. Add polynomials step-by-step. Step 1.1 Factoring Find the Roots (Zeros) 3x^2+2x=-7.3. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Step 1.5, 5 2𝑥﷮ 𝑥﷮2﷯ + 3𝑥 + 2﷯ Solving integrand 2𝑥﷮ 𝑥﷮2﷯ + 3𝑥 + 2﷯ = 2𝑥﷮ 𝑥﷮2﷯ + 2𝑥 + 𝑥 + 2﷯ = 2𝑥﷮𝑥 𝑥 + 2﷯ + 1 𝑥 + 2﷯﷯ = 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ We can write it as 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ = 𝐴﷮ 𝑥 + 2﷯﷯ + 𝐵﷮ 𝑥 + 1﷯﷯ 2𝑥﷮ 𝑥 + 2﷯ 𝑥 + 1﷯﷯ = 𝐴 𝑥 Example 3 Solve 4x + 7 = x - 2. Reorder 3x 3 x and −2x2 - 2 x 2. Solve x^2+2x-7=0 | Microsoft Math Solver. The story of "Guy" (Ping), a college nerd who secretly loves his best friend "Whan. Use the slope-intercept form to find the slope and y-intercept. Related Symbolab blog posts. High School Math Solutions - Quadratic Equations Calculator, Part 2. Use the quadratic formula to find the solutions. Substitute the values a = −2 a = - 2, b = 3 b = 3, and c = −7 c = - 7 The expression 2x^2 − 2x + 7 is a quadratic equation which cannot be further simplified or factored into a product of binomials with integer coefficients, as it does not have any factors that would allow such a transformation. Related Symbolab blog posts. The solution to this equation is 12. 3x−2 = ±7 3 x - 2 = ± 7. Example 4 Solve 5x - 2 (2x - 7) = 2 (3x - 1) + 7/( 2)5x − 2 (2x − 7) = 2 (3x − 1) + 7/2 5x − 4x + 14 = 2 (3x − 1) + 7/2 5x − 4x + 14 Algebra.1. Subtract 7 7 from both sides of the equation. 2^2. Find the leading term of a polynomial function step-by-step. Differentiation. Show more. Step 1. The unknowing Read More. Factor x x out of x3 −3x2 + 2x x 3 - 3 x 2 + 2 x.com. An example of a polynomial of a single indeterminate x is x² − 4x + 7. The last term, "the constant", is -7 Step-1 : Multiply the coefficient of the first term by the constant 3 • -7 = -21 Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is -2 . Pembahasan. Factor out of . Rewrite using the commutative property of multiplication. Simplify and combine like terms. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Khan Academy Video: Simplifying Expressions; Need more problem types? 3(x-2)=x-7 One solution was found : x = -1/2 = -0.333 x = 2 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 7x) + 2 = 0 Step 2 :Trying to factor by splitting the Find the discriminant of the quadratic 3x2 − 7x + 6. Step 2. ax2 + bx+c = 0 a x 2 + b x + c = 0. y = 3x + 2 y = 3 x + 2. Add 7 to both sides. Algebra. 3x^{2} en. en. Arithmetic. Try this example now! » More Examples Trying the examples on the Examples page is the quickest way to learn how to use the calculator. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅−2 = −4 a ⋅ c = 2 ⋅ - 2 = - 4 and whose sum is b = −3 b = - 3. 2 3 x − 2 = 7 2 3 x - 2 = 7. Each new topic we learn has symbols and problems we have never seen. Step 1. en. Divide each term in 3x = 9 3 x = 9 by 3 3 and simplify. Tap for more steps Slope: 2 2. Integration.4. Ex 7.7 - ⋅ 2 + )x 4 ( 2 + 7 - ⋅ x 3 + )x 4 ( x 3 7−⋅2 +)x4(2+7−⋅x3+)x4(x3 spets erom rof paT . Practice your math skills and learn step by step with our math solver.541 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. Algebra. 2x 3 − 2 = 7 2 x 3 - 2 = 7.4. Step 2: Get Step by Step Now. Limits. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more.266 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 The discriminant of the quartic equation determines how many roots are there in an equation. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Solve your math problems using our free math solver with step-by-step solutions. Simplify and combine like terms. Step 2: Change the sign of a number in the divisor and write it on the left side. Question. 3x−2x2 −7 = 0 3 x - 2 x 2 - 7 = 0. −3x . 3x2-7x+2=0 Two solutions were found : x = 1/3 = 0. Last, we divide each member by 3 to obtain. 2. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. An example with three indeterminates is x³ + 2xyz² − yz + 1. Cite. The middle term is, -2x its coefficient is -2 . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a Solve for x 3(x-2)=2(2x-3) Step 1. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Each new topic we learn has symbols and problems we have never seen. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. x=2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics Integration. Tap for more steps Slope: 3 3.5. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Works in Spanish, Hindi, German, and more.