Question 913823
Multiply both sides by {{{sqrt(2-x)}}}
{{{1/sqrt(2-x)+sqrt(2-x)=2}}}
{{{1+(2-x)=2(sqrt(2-x))}}}
{{{3-x=2(sqrt(2-x))}}}
Square both sides.
{{{(3-x)^2=4(2-x)}}}
{{{9-6x+x^2=8-4x}}}
{{{x^2-2x+1=0}}}
{{{(x-1)^2=0}}}
{{{x-1=0}}}
{{{x=1}}}