2017 JBMO Problems/Problem 2
Problem
Let be positive integers such that .Prove that When does the equality hold?
Solution
Since the equation is symmetric and are distinct integers WLOG we can assume that . Hence
THIS IS A FAKESOLVE: The inequality in the last line proven is a lot weaker than the original inequality. This needs to be fixed.
See also
2017 JBMO (Problems • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 | ||
All JBMO Problems and Solutions |