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    Properties of complex numbers

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    Let z be a complex number z=x+iy
    x <>0 and y<>0

    Prove:
    1. If z+1/z is real then |z|=1
    2. If |z|=1 then z+1/z is real

    © BrainMass Inc. brainmass.com March 4, 2021, 5:44 pm ad1c9bdddf
    https://brainmass.com/math/number-theory/two-ways-prove-theorem-complex-numbers-theory-8627

    Solution Summary

    This problem demonstrates the properties of complex number and the transformation between Cartesian and polar representations.

    $2.19

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