Question

Solve the following equation by factoring: x^2 - 2x - 48 = 0

Answer choices:
A.x=-4 or x=12
B.x=-6 or x=8
C.x=-48 or x=1
D.x=-2 or x=24

Answer 1

B. x=-6 or x=8

Explanation:

To solve this, factor the equation x^2-2x-48. Since -48 is negative, one of the factors has to be negative and one has to be positive. Since the coefficient of x is -2, the factors have to sum to -2. Trying factors, we realize that (x-8)(x+6)=0 works. Solving, x-8=0 and x+6=0, or x=8 or x=-6.