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Solving polynomial

  1. Apr 7, 2005 #1
    Hi
    I need help to solve the polynomial equation
    27X4+4KX-K=0 (K=0.9715)
    Any one can help me
    Thanks
    Rao
     
  2. jcsd
  3. Apr 7, 2005 #2

    dextercioby

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    Science Advisor
    Homework Helper

    1.Use the alogorithm for solving a quartic.
    2.Use a computer.

    2.

    [tex] 27x^4+\allowbreak 3.\,886x-0.9715=0 [/tex]

    Solution is : [tex]\left\{ x\simeq .\,17958\,83748\,64723\,92446\,37443\,25198+.\,48229\,37667\,81214\,05384\,75340\,03169i\right\} ,[/tex]

    [tex] \allowbreak \left\{ x\simeq .\,17958\,83748\,64723\,92446\,37443\,25198-.\,48229\,37667\,81214\,05384\,75340\,03169i\right\} ,\allowbreak [/tex]

    [tex]\left\{ x\simeq .\,23041\,56601\,18966\,06539\,90038\,76249\right\} ,[/tex]

    [tex] \allowbreak \left\{ x\simeq -.\,58959\,24098\,48413\,91432\,64925\,26645\right\} [/tex]

    Daniel.
     
    Last edited: Apr 7, 2005
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