Difference between revisions of "2004 AMC 10A Problems/Problem 15"
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Revision as of 18:32, 4 November 2006
Problem
Given that and , what is the largest possible value of (x+y)/x?
Solution
Rewrite as .
We also know that because and are of opposite parity.
Therefore, is maximized when is minimized, which occurs when is the largest and is the smallest.
This occurs at (-4,2), so .