Explanation Formula used: Quadratic formula If a x 2 + b x + c = 0 , a ≠ 0 , then x = − b ± b 2 − 4 a c 2 a . Calculation: The given equation is 2 − 2 m 2 = 3 m . Multiply by m 2 on both sides. ( 2 − 2 m 2 ) m 2 = 3 m ⋅ m 2 2 m 2 − 2 = 3 m Subtract the term 3 m on both sides. 2 m 2 − 2 − 3 m = 3 m − 3 m 2 m 2 − 3 m − 2 = 0 Solve the above quadratic equation by quadratic formula as follows. Here a = 2 , b = − 3 and c = − 2 . Substitute the above values in the formula x = − b ± b 2 − 4 a c 2 a

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter A.7, Problem 29E

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To solve: The quadratic equation 2−2m2=3m.

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Chapter A.7, Problem 28E

Chapter A.7, Problem 30E

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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

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The quadratic equation 2 − 2 m 2 = 3 m .

Solution Summary: The author explains how to solve the quadratic equation 2-2m2, which is divided by m=2.

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To solve: The quadratic equation 2−2m2=3m.

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Chapter A.7 Solutions