Question

What are the solutions of the equation
`x^(2) -9=0` ?

Answer 1

Explanation:

x^2 - 9 = 0

This is a perfect square, meaning that you would take the two factors but one would be negative while the other would be positive:

Factoring this would result in

(x - 3) (x + 3) --> If you FOIL that back you get x^2 - 9

Now set those equal to 0

x - 3 = 0 --> x = 3

x + 3 = 0 --> x = -3

So, x = 3 or -3