Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Roots of complex function

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

    What are the roots of

    z^n = -1

    2. Relevant equations



    3. The attempt at a solution

    are they

    [tex]e^{\frac{2\pi k i}{n}-\frac{i \pi}{n}}[/tex]

    ?
     
  2. jcsd
  3. May 3, 2010 #2

    lanedance

    User Avatar
    Homework Helper

    sounds reasonable
     
  4. May 3, 2010 #3
    if by k you mean "all integer values k in [0,n[" then yes, that is correct, which in turn implies n nth roots.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook