Question 52
Determine all pairs $(x, y)$ of real numbers that satisfy the equation
$$
\frac{4}{x+y}=\frac{1}{x}+\frac{1}{y}.
$$
$$
\frac{4}{x+y}=\frac{1}{x}+\frac{1}{y}.
$$
MathNet 2008-part-02 — 165 problems (EN–VI) Question 52
Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)