If x^2 - x - 6 = 0 and x^2 + 5x+6=0, what is the value of x?
A) -3
B) -2
C) 2
D) 3
E) it can't be determined from the information given.
I got B. By plugging in the answers. Is there an another way to solve this?
each equation can be solved indivually to get two answers.
I suppose you want the value of x which satisfies both equations.
so ....
x^2 + 5x+6 = x^2 - x - 6
6x = -12
x = -2
or:
x^2 - x - 6
(x-3)(x+2) = 0
so x = 3 or x = -2
x^2 + 5x+6 = 0
(x+2)(x+3) = 0
x = -2 or x = -3
so the solution found in both is x = -2