Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 593: 35

Answer

{$-8,4$}

Work Step by Step

Given: $x^2+4x=32$ We need to add $2^2=4$ to complete the square. Thus, $x^2+4x+2^2=32+4$ or, $x^2+(2)(1)(2x)+2^2=36$ or, $(x+2)^2=6^2$ or, $(x+2)=\pm 6$ or, $x=4,-8$ Hence, solution set is $x=${$-8,4$}
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