Question

Using the zero product property to find the solutions to the equation x^2-9=16

Answer 1

x=-5, 5

Explanation:

To find the solutions, use inverse operations to rearrange the equation to be equal to 0.

`x^2-9-16=16-16\\x^2-25=0`

Factor the equation and then set each equal to 0 to solve for x.

`x^2-25=0\\(x+5)(x-5)=0`

x+5=0

x=-5

x-5=0

x=5