2004 AMC 10A Problems/Problem 15
Revision as of 12:12, 5 November 2006 by Xantos C. Guin (talk | contribs) (added category; fixed typo in answer choice)
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 .