Answer
$x=45$
Work Step by Step
Raising both sides to the $\text{
3rd
}$ power, the solution to the given equation, $
(21x+55)^{1/3}=10
$, is
\begin{array}{l}
21x+55=1000
\\\\
21x=1000-55
\\\\
21x=945
\\\\
x=\dfrac{945}{21}
\\\\
x=45
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.6 Solving Radical Equations - 10.6 Exercise Set - Page 668: 33
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