Question

How do you solve `(x-1)^2=4`?

Answer 1

`x=-1 , x=3`

Explanation:

Since we have a squared value on the left we require to take the `color(blue)"square root"` of both sides of the equation.

`sqrt((x-1)^2)=+-sqrt4`

`rArrx-1=+-2`

solve: `x-1=+2rArrx=2+1=3`

solve: `x-1=-2rArrx=-2+1=-1`