x^2-96=4x

Answer 1

To solve the equation x^2 - 96 = 4x, we can rearrange the terms to set the equation equal to zero:

x^2 - 4x - 96 = 0

Now, we can factor the quadratic equation:

(x - 12)(x + 8) = 0

By setting each factor equal to zero, we can solve for x:

x - 12 = 0 or x + 8 = 0

Solving for x, we find:

x = 12 or x = -8

So, the solution to the equation x^2 - 96 = 4x is x = 12 or x = -8.