Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 178: 38

Answer

$\dfrac {2}{3}\left( 1\pm \sqrt {2}\right) $

Work Step by Step

$\left( 2-3x\right) ^{2}=8\Rightarrow 2-3x=\pm 2\sqrt {2}\Rightarrow 3x=2\pm 2\sqrt {2}\Rightarrow x=\dfrac {2}{3}\left( 1\pm \sqrt {2}\right) $
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