Question

Factor and solve each quadratic equation.

Show your work

-t^2 + 12t = 32

Answer 1

t = 8, t = 4

Explanation:

-t² + 12t = 32

-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)

t² - 12t + 32 = 0 (Divided by -1 on both sides.)

(t - 8)(t - 4) = 0 (Factor.)

t - 8 = 0 t - 4 = 0

t = 8 t = 4