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Math Help - Complex numbers

  1. #1
    Junior Member
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    Complex numbers

    On an argand diagram the points P and Q represent the numbers z1 and z2 respectively. OPQ is an equilateral triangle. Show that (z1)^2 + (z2)^2 = z1z2

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  2. #2
    MHF Contributor
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    Represent one number as re^{i\varphi} and the other as re^{i\varphi+i\pi/3} and use the fact that e^{i\pi/3}=1+e^{i2\pi/3}.
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