Answer
{$4,16$}
Work Step by Step
Since, $u^2-6u+8=0$
Factorize the expression as follows: $(u-4)(u-2)=0$
or, $u=${$2,4$}
Replace $u$ with $\sqrt x$, we have
$\sqrt x=2$ or, $x=4$
or, $\sqrt x=4 \implies x=4^2$
and $x=16$
Hence, our solution set is $x=${$4,16$}