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

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Posts: 1,039
Registered: 4/26/08
Is this a valid relation?
Posted: Jul 6, 2013 6:48 AM
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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!


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