Answer:
x = -1 and 2
Explanation:
If f(x) = 2X ^2- X-6 and g(x) = x2 - 4, we are to find x if f(x) = g(x)
2X ^2- X-6 = x^2 - 4,
Collect like terms
2x²-x²-x-6+4= 0
x²-x-2 = 0
Factorize;
x²-2x+x-2 = 0
x(x-2)+1(x-2) = 0
(x+1)(x-2) = 0
x+1 = 0 and x-2 = 0
x = -1 and 2
Hence the value of x are -1 and 2