Home > Just Math
| Sum > Sum Reciprocals (Posted on 2010-11-25) |
 |
A, B and C are three positive real numbers such that: A*B*C = 1, and: A + B + C > 1/A + 1/B + 1/C
Prove that precisely one (and, no more) of A, B and C is greater than 1.
Comments: (
You must be logged in to post comments.)
| |
Subject |
Author |
Date |
 | Solution | Harry | 2010-11-26 23:21:01 |
|
|
Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ |
About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
|
