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Finding all complex solutions to this problem

  1. Feb 3, 2010 #1
    1. The problem statement, all variables and given/known data


    Find all solutions of the equation.

    2. Relevant equations

    [tex]4x^4+25x^2+36=0[/tex]


    3. The attempt at a solution

    Where do i start here? do i use the quadratic formula? I'm thinking i can factor out a x^2 to make it{[tex] x^2(4x^2+25x+36) [/tex] }and from there i can do the quadratic formula. Another question: can i not factor out x^2 since it is not common to all terms because 36 has no [tex]x^2?[/tex]
     
  2. jcsd
  3. Feb 3, 2010 #2

    Dick

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    Science Advisor
    Homework Helper

    No, you can't factor x^2 out. You can, on the other hand, substitute u=x^2, solve for u using the quadratic equation and then find x.
     
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