Re: Hard problem

In article <438f37ae$0$1513$f69f905@xxxxxxxxxxxxxxx>,
Peper <peper@xxxxxxxx> wrote:

>three _positive_ real numbers a,b,c with
>ab + bc + ca = 3
>
>prove that:
>a^3 + b^3 + c^3 + 6abc >= 9

Ah, I see what is happening here.

Could someone please post a message next year when the take-home part
of the Polish Olympiad begins next year? I don't always notice when
the email addresses ending in .pl start to pile up.

Ideally it would be great to see the problems, with the message
"Please do not post solutions until such-and-such date", but I suppose
someone would fail to read that part of the post.

dave

PS -- Saturday Dec 3 is the 2005 Putnam contest in the US. People are
asked to refrain from posting solutions until the westernmost test-takers
are finished late in their afternoon. I will try to post the problems
when the exam is over everywhere, and (what I can of) the solutions later.
.

Relevant Pages

  • Re: Hard problem
    ... rusin@xxxxxxxxxxxxxxxxxxxxx (Dave Rusin) wrote: ... > asked to refrain from posting solutions until the westernmost test-takers ...
    (sci.math)
  • Re: Hard problem
    ... >> asked to refrain from posting solutions until the westernmost test-takers ... it's a Putnam problem. ...
    (sci.math)
  • Re: Hard problem
    ... >> asked to refrain from posting solutions until the westernmost test-takers ... to anything that has the flavor of a Putnam problem. ...
    (sci.math)