Question

Given the equation 2/x-5 = 2, solve for x and identify if it is an extraneous solution.

Answer 1

Given:

`2√(x-5)=2`

Required:

We need to solve for x and identify if it is an extraneous solution.

Step-by-step explanation:

First find the value of x

`\begin{gathered} 2√(x-5)=2 \\ √(x-5)=1 \\ x-5=1 \\ x=6 \end{gathered}`

This solution is not extraneous, because extraneous solution emerage from solving the problem but are not actually valid solution fro initial problem.

With rounding , this solution is valid for the initial problem

Final answer:

A