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Solving a 6th degree equation

  1. Apr 4, 2015 #1
    I have the equation ##2t^{6} + 13t^{4} - 36 = 0##. How can I solve this for the real roots without using a CAS? That is, by hand?
     
  2. jcsd
  3. Apr 4, 2015 #2

    micromass

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    First substitute ##u=t^2##. Then apply the rational root theorem.
     
  4. Apr 4, 2015 #3

    Mark44

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  5. Apr 4, 2015 #4

    Vanadium 50

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    After the substitution, you might want to graph it.
     
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