Respuesta :
Answer:
x = −4, 2.5
Step-by-step explanation:
Let's write this problem algebraically
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
We want to find the solutions to the equation f(x)=g(x) so we set them equal to each other
f(x)=g(x)
x^2 - x - 12 = -2.5x - 2
Adding 2.5x and 2 to both sides,
x^2 + 1.5x - 10 = 0
Factoring, we get
(x + 4) (x - 2.5) = 0
So,
x + 4 = 0 ⇒ x = -4
x - 2.5 = 0 ⇒ x = 2.5