find the roots of f(x)=x^2+10x-96

Answer 1

To find the roots of the equation f(x) = x^2 + 10x - 96, we need to set the equation equal to zero and then solve for x.

x^2 + 10x - 96 = 0

Next, we can factor the equation or use the quadratic formula:
x^2 + 16x - 6x - 96 = 0
x(x + 16) - 6(x + 16) = 0
(x - 6)(x + 16) = 0

Now, we set each factor equal to zero and solve for x:

x - 6 = 0 or x + 16 = 0
x = 6 or x = -16

Therefore, the roots of the equation f(x) = x^2 + 10x - 96 are x = 6 and x = -16.