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

Home > Just Math
Three numbers (Posted on 2003-11-17) Difficulty: 3 of 5
If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3, what is the largest value that x can have ?

No Solution Yet Submitted by Ravi Raja    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Cauchy-Schwarz Inequality | Comment 20 of 21 |

Years ago I heard rumours about the Cauchy-Schwarz Inequality (which, incidentally is occassionally called the Bunyakovskii Inequality) actually being the Pythagorean Theorem in disguise, and vehemently refused to believe it was true. No, I said, it can't be! They put that in maths texts for our children to read. And yet, oh my, here it is again.

I was similarly disheartened a while back when it was revealed that one of the supposedly non-Euclidian 4-vector space geometries could be shown to resolve not just to spherical coordinates but to the ordinary, everyday, garden variety sphere.

Even more surprising was that both could be purchased as term papers, available in three lengths, for immediate download to your printer, from a website I shall not divulge here.


  Posted by CeeAnne on 2004-11-13 12:30:31
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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information