Question 255548
{{{sqrt(x+3)=13-sqrt(x)}}}

Since the two square roots are already on opposite sides of the equal sign, our first step is to square both sides:

{{{(sqrt(x+3))^2 = (13-sqrt(x))^2}}}

{{{x+3 = 169-26sqrt(x)+x}}}

Now we combine like terms and isolate the sqrt(x):

{{{-166 = -26sqrt(x)}}}
{{{83/13 = sqrt(x)}}}

Now we square both sides again:

{{{6889/169 = x}}}