Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.1 Quadratic Equations - 11.1 Exercise Set - Page 707: 66



Work Step by Step

In order to solve this problem, we use the method of completing the square. Doing this, we find: $$ x^2+2x=-\frac{3}{4} \\ x^2+2x+1^2=\frac{1}{4}\\ \left(x+1\right)^2=\frac{1}{4}\\ x=-\frac{1}{2},\:x=-\frac{3}{2}$$
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