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If we write Z = x + yi and c = a + bi, Prove, for the iterated Z (ie. Z => Z2 + c), i) Re (Z2 + c) = x2 – y2 + a ii) Im (Z2 + c) = b + 2xy?

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  • If we write Z = x + yi and c = a + bi, Prove, for the iterated Z (ie. Z => Z2 + c), i) Re (Z2 + c) = x2 – y2 + a ii) Im (Z2 + c) = b + 2xy?


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