Question 467547
{{{ sqrt(x)-sqrt(x-5)=1}}}

square both sides
{{{x-2sqrt(x)*sqrt(x-5) +x-5=1^2}}}

{{{2x-2sqrt(x)*sqrt(x-5)=1+5}}}

{{{ (2x-6)= 2 sqrt(x)*sqrt(x-5)}}}

square both side
{{{(2x-6)^2= 4x(x-5)}}}
{{{4x^2-24x+36=4x^2-20x}}}
-24x+20x=-36
-4x=-36
x=9