<PRE><B>Question 713196</B>
{{{sqrt(x-5)+7=x}}}
subtract 7 from both sides
{{{sqrt(x-5) = x - 7}}}
Square both sides
(x - 5) = (x - 7)^2
FOIL the right side (x-7)(x-7)
x - 5 = x^2 - 14x + 49
Arrange as a quadratic equation on the right
0 = x^2 - 14x - x + 49 + 5
x^2 - 15x + 54 = 0
Factors to
(x-6)(x-9) = 0
Two solutions
x = 6
and 
x = 9
:
;
Check both solutions in the original problem
Only one solution will work, determine which one</PRE>