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2001 IMO Shortlist Problems/N2

Revision as of 17:55, 20 August 2008 by Minsoens (talk | contribs) (New page: == Problem == Consider the system <math>x + y = z + u,</math> <math>2xy & = zu.</math> Find the greatest value of the real constant <math>m</math> such that <math>m \leq x/y</math> for any...)
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Problem

Consider the system $x + y = z + u,$ $2xy & = zu.$ (Error compiling LaTeX. Unknown error_msg) 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 $x \geq y$.

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