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Topic: Is this a valid relation?
Replies: 6   Last Post: Jul 8, 2013 3:25 PM

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G. A. Edgar

Posts: 2,494
Registered: 12/8/04
Re: Is this a valid relation?
Posted: Jul 6, 2013 9:16 AM
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In article <51D7F606.6FC3A277@freenet.de>, <clicliclic@freenet.de>
wrote:

> Let u,v be arbitrary complex numbers and #i the imaginary unit. Can you
> prove or disprove the relation
>
> SQRT(u - #i*v)*(u + v + #i*SQRT(u^2 + v^2)) =
> SQRT(u + #i*v)*(SQRT(u^2 + v^2) + v + #i*u)
>
> with the help of your favorite CAS?
>
> Have fun!
>
> Martin.


False as stated, needs an extra #i in there...

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/



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