Solve the following equation by completing the square. Express the roots in a+bi form.

*Solve the following equation by completing the square. Express the roots in a+bi form.*

*x*

^{2}=12x-40x

^{2}- 12x + 40 = 0x

^{2}- 12x + (-12/2)^{2}+ 40 - (-12/2)^{2}= 0(x

^{2}- 12x + 36) + 40 - 36 = 0(x-6)

^{2}+ 4 = 0(x-6) = ±√(-4)

x = 6 ± 2i