Answer
$\displaystyle 3\pm i$
Work Step by Step
$\displaystyle x^{2}-6x+10=0$
We use the quadratic formula ($a=1, b=-6, c=10$):
$\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^{2}-4*1*10}}{2(1)}=\frac{6\pm\sqrt{36-40}}{2}=\frac{6\pm\sqrt{-4}}{2}=\frac{6\pm 2i}{2}=3\pm i$
