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: 82

Answer

$\{5\}$

Work Step by Step

Step 1. Rewrite the equation as $(3x+7)^{1/3}=(4x+2)^{1/3}$ Step 2. Raise both sides to the 3rd power to get: $3x+7=4x+2$ which gives $x=5$ Step 3. Check answer in the original equation: $\{5\}$ fits.
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