Difference between revisions of "2003 Indonesia MO Problems/Problem 5"
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Revision as of 08:28, 8 August 2018
Problem
For every real number , prove the following inequality
and determine when the equality holds.
Solution
By the Trivial Inequality, and Adding all the equations, expanding the terms, and rearranging the resulting terms results in Equality holds when When that happens, so
See Also
2003 Indonesia MO (Problems) | ||
Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 | Followed by Problem 6 |
All Indonesia MO Problems and Solutions |