Difference between revisions of "2002 Pan African MO Problems/Problem 6"
Rockmanex3 (talk | contribs) (Solution to Problem 6 -- tough inequality problem with a simple solution) |
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Latest revision as of 01:45, 7 January 2020
Problem
If and , then prove:
Solution
Note that . Additionally, if , then and .
For a given value , there are terms in the form . Thus,
See Also
2002 Pan African MO (Problems) | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Problem |
All Pan African MO Problems and Solutions |