Question 829248
{{{-sqrt(x-11)= 3-sqrt(x)}}}
multiply both sides by -1
{{{sqrt(x-11)= sqrt(x)-3}}}
Square both sides, the right side has to be FOILed
{{{x - 11 = x - 6sqrt(x) + 9}}}
combine like terms on the left
x - x - 11 - 9 = {{{6sqrt(x)}}}
-20 = {{{6sqrt(x)}}}
square both sides
400 = 36x
x = 400/36
x = 11.11
:
Check solution in the original problem, replace x with 11.11 and see if equality reigns