Question 13
Find all real values of $x$ for which
$$
\frac{1}{\sqrt{x}+\sqrt{x-2}}+\frac{1}{\sqrt{x+2}+\sqrt{x}}=\frac{1}{4}
$$
$$
\frac{1}{\sqrt{x}+\sqrt{x-2}}+\frac{1}{\sqrt{x+2}+\sqrt{x}}=\frac{1}{4}
$$
MathNet 2011 Question 13
Math Olympiad Vault · MathNet 2011