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Thread: complex numbers equation

  1. #1
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    complex numbers equation

    Hi everyone,
    I am studying for my school exams and I found an equation with complex numbers that I am not able to solve.. Especially the first step.. I do not know where to start.
    My opinion is, that the first step is to get away the fraction, but how..?

    Thanks for any help. :)
    complex numbers equation-screenshot_1.png
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  2. #2
    MHF Contributor
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    Re: complex numbers equation

    you could write $z=x+ i y$

    and

    $$\frac{x+i y}{1+(x-i y)}=3+4i$$

    then solve for $x,y$
    Thanks from topsquark
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