Answer
$x = ± \frac {\sqrt22}{2}$
Work Step by Step
$x^2 = \frac{11}{2}$
Using the Square Root Property $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$.
Thus,
$x = ±\sqrt \frac{11}{2}$
Rationalizing denominators:
$x = ±\sqrt \frac{11}{2}$ $⋅$ $\sqrt \frac{2}{2}$
$x = ± \frac {\sqrt22}{2}$