Precalculus (6th Edition)

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

Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 148: 83

Answer

$\{\frac{1}{4}, 1\}$

Work Step by Step

Step 1. Given the equation as $(2x-1)^{2/3}=(x)^{1/3}$ Step 2. Raise both sides to the 3rd power to get: $(2x-1)^2=x$ or $4x^2-5x+1=0$ which gives $x=\frac{1}{4}, 1$ Step 3. Check answers in the original equation: $\{\frac{1}{4}, 1\}$ fit.
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