Question

Solve for x in the equation x2 + 10x+ 12 = 36.

оооо
O x=-12 or x = 2
O x=-11 or x=1
x= -2 or x = 12
O x= -1 or x = 11

Answer 1

x = -12 or x = 2

Explanation:

x²+ 10x+ 12 = 36

⇔

x²+ 10x - 24 = 0

⇔

x² - 2x + 12x - 24 = 0

⇔

x(x - 2) + 12(x - 2) = 0

⇔

(x - 2)(x + 12) = 0

⇔

x - 2 = 0 or x + 12 = 0

⇔

x = 2 or x = -12