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Math Help - Sketching in the complex plane

  1. #1
    Bar0n janvdl's Avatar
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    Sketching in the complex plane

    Sketch the following:

    A = \{ z \in C  \ | \  |z| = 2 - Re(z) \}

    I have the answer in front of me, but I just dont understand the following:

    x^2 + y^2 = (2-x)^2

    Why did they square the (2-x) part?
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  2. #2
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    Opalg's Avatar
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    Quote Originally Posted by janvdl View Post
    Sketch the following:

    A = \{ z \in C  \ | \  |z| = 2 - Re(z) \}

    I have the answer in front of me, but I just dont understand the following:

    x^2 + y^2 = (2-x)^2

    Why did they square the (2-x) part?
    Because |z| = \sqrt{x^2+y^2}. So they squared both sides.
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Opalg View Post
    Because |z| = \sqrt{x^2+y^2}. So they squared both sides.
    I knew it was something simple that I missed again!

    Thanks Opalg.
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