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

Question

asked Jan 23, 2019 29.6k views

1 Answer

Tarlen · Answer 1 · 2019-01-27T14:19:04+0000

Answer:

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