Answer
$\frac{1}{2}\pm\frac{\sqrt{7}}{2}i$
Work Step by Step
$x^{2}-x+2=0$
We use the quadratic formula ($a=1, b=-1, c=2$):
$x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-(-1)\pm\sqrt{(-1)^{2}-4(1)(2)}}{2(1)}=\frac{1\pm\sqrt{1-8}}{2(1)}=\frac{1\pm\sqrt{-7}}{2}=\frac{1}{2}\pm\frac{\sqrt{7}}{2}i$
