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complex equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg118407] complex equation
  • From: Antonio Mezzacapo <ant.mezzacapo at gmail.com>
  • Date: Wed, 27 Apr 2011 05:37:49 -0400 (EDT)

Hi everyone,
I have a question. Do you know why Mathematica finds solution to this equation
Solve[Sqrt[1 - z^2] == 2, z]
{{z -> -I Sqrt[3]}, {z -> I Sqrt[3]}}
while if I change sign of the right part it doesn't find solution anymore?
Solve[Sqrt[1 - z^2] == -2, z]
{}

Is this related to the phase specification for complex numbers?

Thank you
Antonio Mezzacapo


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