Prove that two nonzero complex numbers z1 and z2 have the same moduli if and only if

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Prove that two nonzero complex numbers z1 and z2 have the same moduli if and only if there are complex numbers c1 and c2 such that z1 = c1c2 and z2 = c1c2.

and [see Exercise 2(b)]

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:35 AM

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Prove that two nonzero complex numbers z1 and z2 have the same moduli if and only if

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exp(쑤-)exp(부)- exp(ith) exp ( i__ ) exp(102).

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First of all given two nonzero complex numbers z 1 and z 2 suppose that there ar...View the full answer

Complex Variables and Applications

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