Question 19
Show that there are no rational numbers $x$ and $y$ such that
$$
x - \frac{1}{x} + y - \frac{1}{y} = 4.
$$
$$
x - \frac{1}{x} + y - \frac{1}{y} = 4.
$$
MathNet 2016-part-06 — 184 problems (EN–VI) Question 19
Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)