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: 69



Work Step by Step

In order to solve this problem, we use the method of completing the square. Doing this, we find: $$ 5x^2+4x=3\\ x^2+\frac{4x}{5}+\left(\frac{2}{5}\right)^2=\frac{3}{5}+\left(\frac{2}{5}\right)^2\\ \left(x+\frac{2}{5}\right)^2=\frac{19}{25}\\ x=\frac{\sqrt{19}-2}{5},\:x=\frac{-\sqrt{19}-2}{5}$$
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