Question

Solve: x(squared) = 5x - 6
A. 3, 2 B. -3, -2 C. (x – 3)(x – 2) D. no solution

Answer 1

Answer:

x=-3   x=-2

Step-by-step 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