Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: An cyclic inequality
Replies: 6   Last Post: Jul 29, 2011 5:01 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
quasi

Posts: 9,903
Registered: 7/15/05
Re: An cyclic inequality
Posted: Jul 28, 2011 4:44 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Thu, 28 Jul 2011 16:38:29 -0500, quasi <quasi@null.set> wrote:

>"huhie" wrote:
>>
>>"Kenshin" wrote:

>>>
>>> x, y, z : positive real number satisfying x+y+z=3
>>>
>>> Prove that (x+1)/(b^2+1) + (b+1)/(c^2+1) + (c+1)/(a^2+1) >=3

>>
>>how do I do that? 4 unknowns and one equation ?

>
>Clearly Kenshin neglected to check his message before (and
>after) posting it.
>
>Presumably, the intended problem was as follows:
>
>Prove that if x,y,z are positive real numbers such that
>
> x + y + z = 3
>
>then
>
> x/(y^2+1) + y/(z^2+1) + z/(x^2+1) >= 3


Oops! (but at least I checked _after_ I posted).

I meant to write ...

Presumably, the intended problem was as follows:

Prove that if x,y,z are positive real numbers such that

x + y + z = 3

then

(x+1)/(y^2+1) + (y+1)/(z^2+1) + (z+1)/(x^2+1) >= 3

quasi



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.