Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Paze

Math Help - Inequality very hard

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    China
    Posts
    23

    Inequality very hard

    Let a,b,c,d\in \mathbb{R} and \left\{\begin{matrix}<br />
0<a\leq b\leq c\leq d\\<br />
\frac{1}{a}+\frac{2}{b}+\frac{d}{c}\geq 3\\<br />
\frac{2}{b}+\frac{d}{c}\geq 2<br />
\end{matrix}\right.. Prove that:
    a^4+b^4+c^4-d^4\leq 17
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Paze's Avatar
    Joined
    Nov 2012
    From
    Iceland
    Posts
    379
    Thanks
    19

    Re: Inequality very hard

    Unfortunately I can't help you with your problem, but I did fix your LaTex codes so that someone might have an easier time helping you. In the future, use '\\' (without the apostrophes) to create a line space. Pressing enter will produce these annoying BR tags

    Let a,b,c,d\in \mathbb{R} and \left\{\begin{matrix}0<a\leq b\leq c\leq d\\ \frac{1}{a}+\frac{2}{b}+\frac{d}{c}\geq 3\\ \frac{2}{b}+\frac{d}{c}\geq 2 \end{matrix}\right.. Prove that:
    a^4+b^4+c^4-d^4\leq 17
    Thanks from jakncoke
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inequality very hard
    Posted in the Geometry Forum
    Replies: 1
    Last Post: February 28th 2013, 05:16 AM
  2. Very hard inequality
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 10th 2010, 11:12 AM
  3. Hard/beautiful inequality --help!!
    Posted in the Algebra Forum
    Replies: 4
    Last Post: July 30th 2008, 11:37 PM
  4. Hard inequality,Please help me
    Posted in the Algebra Forum
    Replies: 12
    Last Post: April 14th 2008, 06:19 PM
  5. ~~~inequality-- hard
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 7th 2006, 11:56 PM

Search Tags


/mathhelpforum @mathhelpforum