Results 1 to 2 of 2

Thread: Complex Numbers,

  1. #1
    Oct 2008

    Complex Numbers,

    Find the complex number z=a+bi such that z^3 = 2+2i where a is smaller or equal to zero and b is greater or equal to zero.

    Find the values of all of the following:


    Thanks in advance!!
    Last edited by eiktmywib; Dec 6th 2008 at 07:58 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Mentia's Avatar
    Dec 2008
    Bellingham, WA
    I assume you are using the equation:

     \sqrt[ n]{ z} =  \sqrt[ n]{ r} \left (cos \left (  \frac{ \theta + 2k \pi  }{ n}   \right )  +  isin \left (  \frac{  \theta + 2k \pi }{n }   \right )   \right )

    In this case theta is pi/4, n is 3, r is 8^(1/2)

    plug in each of k = 0, 1, 2

    and see what happens. It looks like you may have done this already though...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. raising complex numbers to complex exponents?
    Posted in the Advanced Math Topics Forum
    Replies: 10
    Last Post: Mar 25th 2011, 11:02 PM
  2. Replies: 1
    Last Post: Sep 27th 2010, 04:14 PM
  3. Replies: 2
    Last Post: Feb 7th 2009, 07:12 PM
  4. Replies: 1
    Last Post: May 24th 2007, 04:49 AM
  5. Complex Numbers- Imaginary numbers
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Jan 24th 2007, 01:34 AM

Search Tags

/mathhelpforum @mathhelpforum