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Math Help - Complexs equation

  1. #1
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    Complexs equation

    Hi. Im supposed to find every complex number z, so that Im(-z+1)= (z+1)^2
    Im new to the course, so would be good with some guidelines
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Complexs equation

    Quote Originally Posted by fredrikhoeg View Post
    Hi. Im supposed to find every complex number z, so that Im(-z+1)= (z+1)^2
    Denote z=x+iy with x,y\in\mathbb{R} . Then, \textrm{Im}(-z+1)=\textrm{Im}(-x-iy+1)=-y . Now, (z+1)^2=\ldots etc. Show some work.
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  3. #3
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    Re: Complexs equation

    Why is Im(-x-iy+1)=-y?
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  4. #4
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    Re: Complexs equation

    Never mind, forgot the definition of the imaginary part
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