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Math Help - Mandelbrot set problem

  1. #1
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    Mandelbrot set problem

    This is high school math, not uni, but it's extension and I felt it didn't belong in the high school section.

    In any case, I'm doing an assignment on fractals and I don't understand the following question:

    If we write Z = x + yi and c = a + bi, show for the iterated Z (i.e. Z = Z2 + c),
    Re (Z^2 + c) = x^2 y^2 + a
    i)
    Im (Z^2 + c) = b + 2xy
    ii)

    Can someone please explain it to me?
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  2. #2
    Senior Member
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    Calculate z^2 + c and then pull out the real part and the imaginary part.
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  3. #3
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    Thanks :-)
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