Question

Hi can you help me find the correct answer to this?

Answer 1

Given:

`x-5=√(x-3)`

To find:

The solution

Step-by-step explanation:

Taking square on both sides, we get

`(x-5)^2=x-3`

Expanding and solving for x, we get,

`\begin{gathered} x^2+25-10x=x-3 \\ x^2+25-10x-x+3=0 \\ x^2-11x+28=0 \\ (x-7)(x-4)=0 \\ x=7,4 \end{gathered}`

Therefore, the solutions are 7 and 4.

Final answer:

The solutions are 7 and 4.