Answer
$\{\sqrt[3] 4\}$
Work Step by Step
Step 1. Given the equation $5x^{3/2}-10=0$, we have $\sqrt {x^3}=2$. Take square on both sides to get $x^3=4$.
Step 2. Solve the above equation to get $x= \sqrt[3] 4$ or in set form as $\{\sqrt[3] 4\}$