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Graphing complex functions

  1. Sep 20, 2009 #1
    I tried graphing the following equation on Mathematica online:

    http://www.wolframalpha.com/input/?i=(z*z*)+(1+i)z+((1-i)z*)+1=0

    It gives complex solutions -2+i and i.

    I don't understand why it lists these as the only complex solutions (why is that?). Yet it also gives as solutions as anything on the boundary of the circle, which I determined was

    (x+1)^2 + (y+1)^2 = 1.

    What would be the set theoretic formula for this? I'm trying to figure it out.
     
  2. jcsd
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