Question 895374
Simplify your given equation, and put into general form.


{{{x^2+2x+1=6x-10}}}
{{{x^2-4x+11=0}}}


Use this for computational or calculational convenience.


{{{D=(-4)^2-4*1*11=16-44=-28}}}, the discriminant, which is negative.

{{{x=(4+- sqrt(D))/2}}}
{{{x=(4+- sqrt(-4*7))/2}}}
{{{x=(4+- 2i*sqrt(7))/2}}}
{{{highlight(x=2+- i*sqrt(7))}}}