Question 699653
{{{ sqrt(x-6) - sqrt(x) = 3 }}}
I don't think there is a solutions here, but plunging ahead anyway.
:
{{{ sqrt(x-6) = 3 + sqrt(x) }}}
square both sides, you only FOIL the right,
 squaring the left gives you x - 6
x - 6 = {{{9 + 6sqrt(x) + x}}}
combine like terms on the left
x - x - 6 - 9 = {{{6sqrt(x)}}}
-15  = {{{6sqrt(x)}}}
square both sides again
225 = 36x
x = 225/36
x = 6.25, however if you substitute this in the original problem it does not work
the problem has no solution