√(x+5) = 5 - √(x). Squaring both sides gives x+5 = 25 - 10√(x) + x. So 10√(x) = 20, and √(x) = 2. Therefore, x = 4. However, let's check our answer sqrt(9) + sqrt(4) = 3 + 2 = 5. Thus, the answer is 4. This is an error in the question, we will pick closest one, which is 9/4. Note: In olympiad setting checking solution for extraneous result is an absolute must.