Question 133
Find all positive integer $n$ such that the equation
$$
x + y + u + v = n\sqrt{xyuv}
$$
has positive integer solution $x$, $y$, $u$, $v$.
$$
x + y + u + v = n\sqrt{xyuv}
$$
has positive integer solution $x$, $y$, $u$, $v$.
Math Olympiad Vault · MathNet 2002 — Part 02