Question 359645
{{{sqrt(x+1) + sqrt(x+2) = 1}}}
Isolate one of the radicals
{{{sqrt(x+1) = -sqrt(x+2) + 1}}}
Square both sides
{{{x+1 = (x+2) + 1 - 2sqrt(x+2)}}}
Collect terms, isolate the remaining radical, square again.