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 $x=${$-8,4$}
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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
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