Solve x^2+6x+13=0

Answer 1

It will not factor, since the discriminant is negative. So, use the quadratic formula.

x = (-6±√(6^2-4*13))/2 = (-6±√16 i)/2 = (-6±4i)/2 = -3±2i

Or, complete the square
x^2+6x+13 = 0
x^2+6x+9 = -4
(x+3)^2 = -4
x+3 = ±2i
x = -3±2i

Answer 2

This is the one I tried to answer but was told I was banned.

Answer 3

and about time, too ...