Question

Solve the quadratic equation by using the square root property. (x−7)2=9 Enter the exact answers.

Answer 1

The given equation is:

`(x-7)^2=9`

Taking the square-root of both sides, we have:

`\sqrt[]{(x-7)^2}=\sqrt[]{9}`

This becomes:

`\begin{gathered} x-7=\pm3 \\ x=\pm3+7 \\ x=+3+7 \\ x=10 \\ OR \\ x=-3+7 \\ x=4 \end{gathered}`