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Math Help - System of equations

  1. #1
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    System of equations

    Solve the system of equations:
    \left\{\begin{matrix}<br />
2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^2}\end{mat  rix}\right.
    @@Help me my latex??
    Last edited by leezangqe; January 28th 2013 at 03:34 AM.
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  2. #2
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    Re: System of equations

    Quote Originally Posted by leezangqe View Post
    Solve the system of equations:
    \left\{\begin{matrix}<br />
2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^}\end{matr  ix}\right.
    @@Help me my latex??
    Hi Leezangqe, are both equations correctly posted? Cause \sqrt{\frac{3}{2}\times y^{2}} in the first equation could be \sqrt{\frac{3}{2}}y.
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  3. #3
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    Re: System of equations

    @kylehk
    No, it is
    \sqrt{\frac{3}{2}\times y^{2}}= \sqrt{\frac{3}{2}}\left | y \right |
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  4. #4
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    Re: System of equations

    Who can help me solve this problem? affordable it will be resolved by the inequality?
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  5. #5
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    Re: System of equations

    Quote Originally Posted by leezangqe View Post
    Solve the system of equations:
    \left\{\begin{matrix}<br />
2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}.y^2}\\2\sqrt[4]{\frac{y^4}{3}+4}=1+\sqrt{\frac{3}{2}.x^2}\end{mat  rix}\right.
    @@Help me my latex??
    first thoughts:
    As the equations are cyclic, maybe it would help to solve 2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}}x first, because my best guess is that it will work for x=y.
    Would be great if anybody solves this equation...
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  6. #6
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    Re: System of equations

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