Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.9 Graph and Solve Quadratic Inequalities - 4.9 Exercises - Skill Practice - Page 305: 53

Answer

$$\frac{-\sqrt{19}+3}{5}\le \:x\le \frac{\sqrt{19}+3}{5}$$

Work Step by Step

Solving the inequality using the rules of inequalities, we find: $$\left(x-\frac{3}{5}\right)^2\le \frac{19}{25} \\ -\sqrt{\frac{19}{25}}\le \:x-\frac{3}{5}\le \sqrt{\frac{19}{25}} \\ \frac{-\sqrt{19}+3}{5}\le \:x\le \frac{\sqrt{19}+3}{5}$$
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