Answer
$\frac{2}{5}$, $\frac{1}{2}$
Work Step by Step
Step 1. Let $u=\sqrt {5-\frac{2}{x}}$, we have $u^2=u$ or $u(u-1)=0$ which gives $u=0, 1$
Step 2. For $u=0$, we have $5-\frac{2}{x}=0$ and $x=\frac{2}{5}$
Step 2. For $u=1$, we have $5-\frac{2}{x}=1$ and $x=\frac{1}{2}$
