Answer
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 $x$:
$x=4-5$
$x=-1$
College Algebra (6th Edition)
by Blitzer, Robert F.
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
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