Answer
$x=13$
Work Step by Step
Step 1. Rewrite the equation as $(x-4)^{3/2}=27$
Step 2. Take the cube root for both sides, we have $(x-4)^{1/2}=3$
Step 3. Take the square on both sides, we have $x-4=9$ and $x=13$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - Summary Exercises on Solving Equations and Inequalities - Exercises - Page 382: 12
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