Difference between revisions of "1997 USAMO Problems/Problem 5"
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| + | == Problem == | ||
| + | Prove that, for all positive real numbers <math>a, b, c,</math> | ||
| + | <math>(a^3+b^3+abc)^{-1}+(b^3+c^3+abc)^{-1}+(a^3+c^3+abc)^{-1}\le(abc)^{-1}</math>. | ||
| + | |||
| + | == Solution == | ||
Revision as of 14:09, 5 July 2011
Problem
Prove that, for all positive real numbers 
.
