What are the solutions of the quadratic equation?

x2 + 11x = —24

1 answer

To find the solutions of the quadratic equation x^2 + 11x = -24, we can rearrange the equation as x^2 + 11x + 24 = 0.

We can factor the quadratic expression to solve for x:
(x + 8)(x + 3) = 0

Setting each factor equal to zero:
x + 8 = 0 or x + 3 = 0

Solving for x in each equation:
x = -8 or x = -3

Therefore, the solutions of the quadratic equation x^2 + 11x = -24 are x = -8 and x = -3.