Answer
$\left\{-10\sqrt{10}, 10\sqrt{10}\right\}$
Work Step by Step
Take the square root of both sides to obtain:
$x = \pm \sqrt{1000}$
Factor $1000$ so that one factor is a perfect square:
$x=\pm \sqrt{100(10)}
\\x=\pm \sqrt{10^2(10)}
\\x=\pm10\sqrt{10}$
Thus, the solution set of the given equation is $\left\{-10\sqrt{10}, 10\sqrt{10}\right\}$.
