Question 133
Prove that there are infinitely many pairs of positive integers $(x, y)$ with
$$
\frac{x+1}{y} + \frac{y+1}{x} = 4.
$$
$$
\frac{x+1}{y} + \frac{y+1}{x} = 4.
$$
MathNet 2007-part-02 — 187 problems (EN–VI) Question 133
Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)