Groups > comp.soft-sys.math.mathematica > #1898

complex equation

From	Antonio Mezzacapo <ant.mezzacapo@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	complex equation
Date	2011-04-27 09:38 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<ip8o5p$pfi$1@smc.vnet.net> (permalink)

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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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complex equation Antonio Mezzacapo <ant.mezzacapo@gmail.com> - 2011-04-27 09:38 +0000
  Re: complex equation Gary Wardall <gwardall@gmail.com> - 2011-04-28 10:36 +0000

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