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Student Support Forum: '[Q] Absolute value of Complex Numbers' topicStudent Support Forum > General > Archives > "[Q] Absolute value of Complex Numbers"

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Sanjaya Kumar
05/17/12 09:47am

Solve[Abs[(1/(1 + I x))] == 1/2, x]

gives the complex solutions: {{x -> -I}, {x -> 3 I}}, but not the Real valued solutions which I can obtain as follows:

Solve[1/(1 + x^2)^(1/2) == 1/2, x]

which gives: {{x -> -Sqrt[3]}, {x -> Sqrt[3]}}

Putting "Reals" as the third argument to the first equation does not work -- it complains about non real constants.

How do I get the first equation to generate Real valued solutions?

Thanks.

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Subject (listing for '[Q] Absolute value of Complex Numbers')
Author Date Posted
[Q] Absolute value of Complex Numbers Sanjaya Kumar 05/17/12 09:47am
Re: [Q] Absolute value of Complex Numbers Bill Simpson 05/17/12 12:40pm
Re: Re: [Q] Absolute value of Complex Numbers Sanjaya Kumar 05/19/12 6:59pm
Re: [Q] Absolute value of Complex Numbers Peter Pein 05/20/12 07:43am
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