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How to use Mathematica find the solution of an equation when Arg is part of it?

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Eduardo M. A. M. Mendes

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May 23, 2013, 3:50:13 AM5/23/13
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Hello

I need to solve the following equation:

Arg[-(I/((1+I \[Omega])^2 \[Omega]))]==-\[Pi]

I have tried Solve (empty output), Reduce (it gives some results but not
the answer Omega=1) and FindRoot (it gives Omega=1 but it is a
numerical search). Is there a way to get the solution not using a
numerical search?

Many thanks

Ed

PS. I need to solve several equation of the same kind.

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