Given the equation \sqrt[2]{x-5} = 2, solve for x and identify if it is an extraneous solution. x = 6, solution is not extraneous x = 6, solution is extraneous x = 11, solution …

Question

Given the equation
`\sqrt[2]{x-5} = 2`, solve for x and identify if it is an extraneous solution.

x = 6, solution is not extraneous

x = 6, solution is extraneous

x = 11, solution is not extraneous

x = 11, solution is extraneous

Answer 1

x = 6, solution is not extraneous

Explanation:

If you go and plug in 6 then the equation works well and there are no extraneous solutions.