Question

How do you solve `sqrt(x-3) =1` and find any extraneous solutions?

Answer 1

`x=4`

Explanation:

The first step is to `color(blue)"square both sides"`

`rArr(sqrt(x-3))^2=1^2`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sqrtaxxsqrta=(sqrta)^2=a)color(white)(a/a)|)))`

`rArrx-3=1rArrx=1+3=4`

There are no extraneous solutions.