Question

Complete the square

X^2 - 12x =-20

Answer 1

(x - 10)(x - 2) = 0, x = 10, 2

Explanation:

x² - 12x = -20

Add 20 to both sides.

x² - 12x + 20 = 0

To complete the square, find values that add up to the middle coefficient and multiply to the final number. In this case, -10 and -2 add to -12 and multiply to 20.

(x - 10)(x - 2) = 0

Now solve each individual pair.

x - 10 = 0

x = 10

x - 2 = 0

x = 2