Answer
$$x=-\frac{1}{2},\:x=-\frac{3}{2}$$
Work Step by Step
Completing the square, we find:
$$4\left(x^2+2x+\frac{3}{4}\right) \\ 4\left(\left(x+1\right)^2+\frac{3}{4}-1^2\right) \\ 4\left(x+1\right)^2-1 \\ x=-\frac{1}{2},\:x=-\frac{3}{2}$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - Chapter Test - Page 323: 21
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