The number of roots satisfying the equation $\sqrt{5 - x} = x\sqrt{5 - x}$ is:
$\textbf{(A)}\ \text{unlimited}\qquad  \textbf{(B)}\ 3\qquad  \textbf{(C)}\ 2\qquad  \textbf{(D)}\ 1\qquad  \textbf{(E)}\ 0$
Solve the equation for x.
\[\sqrt{5-x}=x\sqrt{5-x}\]
\[x\sqrt{5-x} - \sqrt{5-x} = 0\]
\[(x-1)\sqrt{5-x}=0\]
\[x=1,5\]
There are two solutions $\to \boxed{\textbf{(C)}}$