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:(adsbygoogle = window.adsbygoogle || []).push({});

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.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]

Any ideas?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solving a complex equation involving conjugates with Mathematica

Loading...

Similar Threads - Solving complex equation | Date |
---|---|

Mathematica Solve Perturbation problem with mathematica | Dec 7, 2017 |

Matlab Solving equation with integration using MATLAB | Aug 4, 2017 |

Solving system of equations Mathematica | Apr 3, 2017 |

Mathematica Numerically solve recurrence relation | Mar 12, 2017 |

Mathematica: Solving Linear Complex Systems | Nov 7, 2012 |

**Physics Forums - The Fusion of Science and Community**