Question

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it

Answer 1

So we need to solve the following equation for x:

`\sqrt[]{x-2}+8=x`

The first step would be substracting 8 from each side of the equation:

`\begin{gathered} \sqrt[]{x-2}+8-8=x-8 \\ \sqrt[]{x-2}=x-8 \end{gathered}`

The next step is to square