Explanation Given: | x 2 + 2 x | = 3 Calculation: Consider, | x 2 + 2 x | = 3 . If | y | = a , then y = a and y = − a Now, x 2 + 2 x = 3 and x 2 + 2 x = − 3 Take x 2 + 2 x = 3 Subtract 3 from both sides x 2 + 2 x − 3 = 3 − 3 x 2 + 2 x − 3 = 0 Factorize x 2 + 2 x − 3 ( x + 3 ) ( x − 1 ) = 0 Apply zero product principle x + 3 = 0 or x − 1 = 0 x = − 3 or x = 1 Take x 2 + 2 x = − 3 Add 3 to both sides x 2 + 2 x + 3 = − 3 + 3 x 2 + 2 x + 3 = 0 Comparing x 2 + 2 x + 3 = 0 with the standard quadratic equation i.e

8th Edition

ISBN: 9780136553632

Author: Blitzer

Publisher: VST

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Chapter 8.2, Problem 75ES

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To calculate: The solution of the quadratic equation, |x2+2x|=3.

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Chapter 8.2, Problem 74ES

Chapter 8.2, Problem 76ES

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Chapter 8 Solutions

EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 8.1 - Check Point 1 Solve: . Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

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The solution of the quadratic equation, | x 2 + 2 x | = 3 .

Solution Summary: The author calculates the solution of the given quadratic equation, left|x2+2x

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