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 - 11.2 The Quadratic Formula - 11.2 Exercise Set - Page 713: 45


$$x=- .764, -5.24$$

Work Step by Step

The quadratic formula states: $$ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ Solving by using the quadratic formula to approximate the solution, we find: $$ x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}\\ x=-3+\sqrt{5},\:x=-3-\sqrt{5}\\ x=- .764, -5.24$$
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