All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    


Click to listen to the single ▶

Support album on Kickstarter
perplexus dot info

Home > Just Math
Is It Necessary and Sufficient (Posted on 2008-02-27) Difficulty: 2 of 5
Let a,b,c be real numbers. Is a,b,c≥0 the necessary and sufficient condition to show that a3+b3+c3≥3abc? If not, find the condition that is both sufficient and necessary.

  Submitted by Praneeth    
Rating: 3.5000 (2 votes)
Solution: (Hide)
The necessary and sufficient condition: (a+b+c)≥0 or a=b=c.
Explanation:
Look at K Sengupta's Solution
Thanks to K Sengupta for solution and Steve Herman for the correction.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Puzzle Solution -- minor correctionK Sengupta2008-02-28 05:05:19
SolutionPuzzle Solution -- minor correctionSteve Herman2008-02-28 01:29:45
SolutionPuzzle SolutionK Sengupta2008-02-27 23:57:58
Hints/TipsMore thoughts; Solution?Steve Herman2008-02-27 23:45:35
Hints/TipsStating the obvious ...Steve Herman2008-02-27 11:34:08
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2014 by Animus Pactum Consulting. All rights reserved. Privacy Information