Question 24
Consider the system
$$ x+y=z+u $$
$$ 2xy=zu. $$
Find the greatest value of the real constant m such that $ m \leq x/y $ for any positive integer solution $ (x, y, z, u) $ of the system, with $ x \geq y $.
$$ x+y=z+u $$
$$ 2xy=zu. $$
Find the greatest value of the real constant m such that $ m \leq x/y $ for any positive integer solution $ (x, y, z, u) $ of the system, with $ x \geq y $.