Answer
$x = 3i$ or $x=-3i$
Work Step by Step
$x^2 = -9$
Using the Square Root Property $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$.
Thus,
$x = \sqrt{-9}$ or $x = -\sqrt {-9}$
$x = \sqrt{9} \sqrt{-1}$ or $x = -\sqrt {9} \sqrt{-1}$
$x = 3i$ or $x=-3i$