Apply zero product theorem to solve for xx ^(2) = 9

Question

Apply zero product theorem to solve for x
`x ^(2) = 9`

Answer 1

`\begin{gathered} x_1=-3 \\ x_2=3 \end{gathered}`

Explanation:

To apply the zero product theorem, put all the terms on the left side to equal zero.

`x^2-9=0`

Factoring the binomial:

`\begin{gathered} (x+3)(x-3)=0 \\ x_1+3=0 \\ x_1=-3 \\ \\ x_2-3=0 \\ x_2=3 \end{gathered}`