2003 Indonesia MO Problems/Problem 5
Contents
[hide]Problem
For every real number , prove the following inequality
and determine when the equality holds.
Solution 1
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
Solution 2
Equality holds when .
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 |