Question

solve. x^2 + 6x + 13 = 0

Answer 1

X^2 + 6X + 13 = 0.

Complete the square:
X^2 + 6X + (6/2)^2 = -13,
X^2 + 6X + 9 = -13 + 9 = -4,
(X + 3)^2 = -4,
Take sqrt of both sides:
X + 3 = +- 2i,

X = -3 + 2i, and X = - 3 - 2i.