Answer
$x=3-i,3+i$
Work Step by Step
Plug the values $a$, $b$, and $c$ into the quadratic formula and simplify all the values.
$x^2-6x+10=0$
$a=1,b=-6,c=10$
$x=\frac{-b±\sqrt {b^2-4ac}}{2a}$
$x=\frac{-(-6)±\sqrt {(-6)^2-4(1)(10)}}{2(1)}$
$x=\frac{6±\sqrt {36-40}}{2}$
$x=\frac{6±\sqrt {-4}}{2}$
$x=\frac{6±2i}{2}$
$x=3±i$
$x=3-i,3+i$
