1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Difficult inequality

  1. Jun 14, 2008 #1
    Pls help me to prove the following inequality:

    3 (a/b + b/a + b/c + c/b + a/c + c/a) + (1 + a) (1 + b) (1 + c) (c/b + c/a) (b/a + b/c) (a/b + a/c)

    >=

    6 abc + 6 + 9(ab + bc + ac + a + b + c) + 3((ab)/c + (bc)/a + (ac)/b)

    with a, b, c are positive reals

    If it helps, I know the equality occurs when a=b=c=2 (although I'm not sure if it's the only one).

    Also, can any one helps to prove (2, 2, 2) is the only point at which equality occurs.

    Thanks a lot...

    Any hint is appreciated...
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Difficult inequality
  1. A Difficult Equation (Replies: 9)

  2. A difficult one (Replies: 1)

  3. Difficult Equation (Replies: 6)

  4. Difficult series (Replies: 1)

  5. An inequality (Replies: 11)

Loading...