Answer
$2\pm\sqrt{2}$
Work Step by Step
$-(-4)=4,$
$(-4)^{2}=16$
$4(1)(2)=8$
$... x=\displaystyle \frac{4\pm\sqrt{16-8}}{2}$
$=\displaystyle \frac{4\pm\sqrt{8}}{2}$
$=\displaystyle \frac{4\pm\sqrt{4\cdot 2}}{2}$
$=\displaystyle \frac{4\pm 2\sqrt{2}}{2}$
$=\displaystyle \frac{2(2\pm\sqrt{2})}{2}$
= $2\pm\sqrt{2}$