Results 1 to 2 of 2

Thread: Inequality

  1. #1
    Join Date
    Jul 2008
    Location
    Poland
    Posts
    375
    Mentioned
    1 Post(s)
    Quoted
    0 Post(s)

    Default Inequality

    Hey guys, how is life going?? Is there anybody very good at math??
    I have a problem with hard inequality.. very hard



    Positive x, y, z (real) are given such that x^4 + y^4 + z^4 >= x^3 + y^3 + z^3

    Prove that:

    x^3/sqrt(y^4 + y^2*z^2 + z^4) + y^3/sqrt(z^4 + z^2*x^2 + x^4) + z^3/sqrt(x^4 + x^2*y^2 + y^4) >= sqrt(3)

    Any ideas how to prove that?
    :P

  2. #2
    Join Date
    Jul 2009
    Posts
    47
    Mentioned
    0 Post(s)
    Quoted
    0 Post(s)

    Default

    Do yo ustill need the answer?

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •