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Find the roots for Y^6+1

  1. Mar 17, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]y^6+1=0[/tex]

    Find the roots of this equation. (They are complex numbers)

    2. Relevant equations

    none.


    3. The attempt at a solution

    [tex]y^6+1=0[/tex]

    [tex](zi)^6+1=0[/tex]

    [tex]z^6-1=0[/tex]

    [tex]y_1=z_1i=1i=i[/itex]

    How will I find other 5 roots?
     
  2. jcsd
  3. Mar 17, 2008 #2

    dynamicsolo

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    Homework Helper

    You would use DeMoivre's Theorem for roots, applying it to the six complex roots of -1. BTW, you should be able to find a second one right off...
     
  4. Mar 17, 2008 #3

    cristo

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    Staff Emeritus
    Science Advisor

    Write in polar form and use De Moivre's theorem.
     
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