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: 55


$$\frac{-\sqrt{17}-7}{4}\le \:x\le \frac{\sqrt{17}-7}{4}$$

Work Step by Step

Solving the inequality using the rules of inequalities, we find: $$-2x^2-7x-4\ge \:0 \\ -2\left(x+\frac{7}{4}\right)^2+\frac{17}{8}\ge \:0 \\ \left(x+\frac{7}{4}\right)^2\le \frac{17}{16} \\ \frac{-\sqrt{17}-7}{4}\le \:x\le \frac{\sqrt{17}-7}{4}$$
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