Solve the equation by the​ zero-factor property.

Question

x2−x−72=0

Answer 1

To solve the equation x^2 - x - 72 = 0 using the zero-factor property, we need to set both factors equal to zero and solve them individually.

The equation can be factored as (x - 9)(x + 8) = 0.

Setting each factor equal to zero:

x - 9 = 0
x = 9

x + 8 = 0
x = -8

Therefore, the solutions to the equation are x = 9 and x = -8.