Question

Solve the quadratic equation by completing the square.
x²+12x+33=0

Answer 1

`x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm √(3) \\ \\ \boxed{x=-6 \pm √(3)}`