Question 97
Find all pairs of real numbers $x$ and $y$ such that
$$
\frac{x-2}{y} + \frac{5}{xy} = \frac{4-y}{x} - \frac{|y-2x|}{xy}.
$$
$$
\frac{x-2}{y} + \frac{5}{xy} = \frac{4-y}{x} - \frac{|y-2x|}{xy}.
$$
MathNet 2005 — Part 03 Question 97
Math Olympiad Vault · MathNet 2005 — Part 03