1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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