Difference between revisions of "2001 IMO Shortlist Problems/N2"
(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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Revision as of 17:55, 20 August 2008
Problem
Consider the system 
$2xy & = zu.$ (Error compiling LaTeX. Unknown error_msg) Find the greatest value of the real constant 
such that 
for any positive integer solution 
of the system, with 
.
Solution
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