What are the solutions to the equation 0 = x2 - x - 6? Check all that apply.

A. x = - 3

B. x = - 2

C. x = 0

D. x = 2

E. x = 3

Hello,

A) (-3) ² - (-3) - 6=9+3-6=6 not a root

B) (-2) ² - (-2) - 6=4+2-6=0 is a root

C) 0²-0-6=-6 not a root

D) 2²-2-6=-4 not a root

E) 3²-3-6=9-3-6=0 is a root

other method:

x²-x-6=0

==>x²-2*1/2*x+1/4-1/4-6=0

==> (x+1/2) ²-25/4=0

==> (x+1/2-5/2) (x+1/2+5/2) = 0

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

roots x=2 or x=-3