You can put this solution on YOUR website! sqrt(x+11) = sqrt(x) +1
Square both sides
x + 11 = (sqrt(x) + 1)^2
FOIL the right side
x + 11 = x + sqrt(x) + sqrt(x) + 1
:
x + 11 = x + 2sqrt(x) + 1
;
x - x + 11 - 1 = 2sqrt(x)
:
10 = 2sqrt(x)
Square both sides
100 = 4x
x = 100/4
x = 25
:
You can check solution in original problem