## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=45$
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}