College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 178: 34


The solution is $x=-1$

Work Step by Step

$(x+5)^{3/2}=8$ Raise both sides to $\dfrac{2}{3}$: $[(x+5)^{3/2}]^{2/3}=8^{2/3}$ $x+5=\sqrt[3]{8^{2}}$ $x+5=\sqrt[3]{64}$ $x+5=4$ Solve for $x$: $x=4-5$ $x=-1$
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