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Solving a complex equation involving conjugates with Mathematica

  1. Apr 19, 2010 #1
    How can one obtain (using Mathematica) all the solutions of an equation involving conjugates like for example [tex]z \bar{z}=1[/tex]. Although this equation is very simple, it seems that Mathematica is not able to handle it. I obtain:
    Code (Text):
     
    Solve[z Conjugate[z] == 1, z]
    InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses. >>
    Solve::tdep: The equations appear to involve the variables to be solved for in an essentially non-algebraic way. >>
    Solve[z z^\[Conjugate]\[LongEqual]1,z]
     
    Of course I'm not interested in this particularly simple equation, but of an equation involving many terms, which can't be, unfortunately, done by hand in a reasonable amount of time.
    Any ideas?
     
  2. jcsd
  3. Apr 22, 2010 #2

    Dale

    Staff: Mentor

    When Solve fails, especially with the non-algebraic error, I usually use Reduce.
     
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