Question

Solve: x(squared) = 5x - 6

A. 3, 2 B. -3, -2 C. (x – 3)(x – 2) D. no solution

Answer 1

x=-3 x=-2

Explanation:

x^2 = 5x-6

Subtract x^2 from each side

x^2 - x^2 = -x^2 -5x-6

0 = -x^2 -5x-6

0 =-(x^2 +5x+6)

Factor

0 = (x+3)(x+2)

Using the zero product property

0=x+3 0=x+2

x=-3 x=-2