Explanation Given Information: The given equation is 3 x 2 − 13 x = 10 . Formula used: Step 1: Write the equation in the form a x 2 + b x + c = 0 . Step 2: Find the factors of the polynomial. Step 3: Write each factor of the polynomial equal to zero. Step 4: Solve the equations. Step 5: Check. Calculation: Consider the give equation, In order to solve the equation, follow the following step: Step 1: Write the equation in the form a x 2 + b x + c = 0 3 x 2 − 13 x = 10 3 x 2 − 13 x − 10 = 0 Step 2: Find the factors of the above polynomial, 3 x 2 − 13 x − 10 = 0 3 x 2 − 15 x + 2 x − 10 = 0 3 x ( x − 5 ) + 2 ( x − 5 ) = 0 ( 3 x + 2 ) ( x − 5 ) = 0 Step 3: Write each factor equal to zero, ( 3 x + 2 ) = 0 and ( x − 5 ) = 0 Step 4: Solve the equations, 3 x + 2 = 0 3 x + 2 − 2 = 0 − 2 3 x 3 = − 2 3 x = −

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14, Problem 15CR

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To calculate: The solutions of the equation 3x2−13x=10.

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The solutions of the equation 3 x 2 − 13 x = 10 .

Solution Summary: The author calculates the solutions of the equation 3x2-13x=10.

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Chapter 14 Solutions