Consider the equation below. Follow the steps to solve by completing the square.

Question

x^2−24x−12=0

Separate the x and x^2 terms on the left-hand-side.

×^2-24=?

Answer 1

x^2−24x − 12=0
x^2-24x+12^2 = 12+12^2
(x-12)^2 = 156
x-12 = ±√156 = ±2√39
x = 12±2√39