2 root (x-5)=2
Divide each side by 2 (in order to isolate the square root):
Root (x-5) =1
Square both sides to remove the radical sign:
(x-5)=1
Solve:
x=6
To be sure that it is not an extraneous solution, check the solution by replacing the value for the variable in the equation.
2 root (6-5) = 2
The square root of 1 is 1.
2(1)=2
This is correct.
