2003 USAMO Problems/Problem 5
Problem
Let , , be positive real numbers. Prove that
Solution
solution by paladin8:
WLOG, assume since all terms are homogeneous.
Then the LHS becomes .
Notice , so .
So as desired.
Let , , be positive real numbers. Prove that
solution by paladin8:
WLOG, assume since all terms are homogeneous.
Then the LHS becomes .
Notice , so .
So as desired.
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