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2001 IMO Shortlist Problems/N2

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Problem

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 $x \geq y$ .

Solution

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Categories: Problems with no solution | Olympiad Number Theory Problems

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