Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.4 - Quadratic Equations and Applications - 1.4 Exercises - Page 110: 41


{$\frac{-5-\sqrt {89}}{4}, \frac{-5+\sqrt {89}}{4}$}

Work Step by Step

$2x^2+5x-8=0$ $x^2+\frac{5x}{2}=4$ $x^2+\frac{5x}{2}+\frac{25}{16}=\frac{89}{16}$ $(x+\frac{5}{4})^2=\frac{89}{16}$ $(x+\frac{5}{4})=+\sqrt {\frac{89}{16}} or -\sqrt {\frac{89}{16}}=+{\frac{\sqrt{89}}{4}}or -{\frac{\sqrt{89}}{4}}$ x={$\frac{-5-\sqrt {89}}{4}, \frac{-5+\sqrt {89}}{4}$}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.