Complex Numbers - Is this strange result correct? – math.stackexchange.com

Complex Numbers - Is this strange result correct? – math.stackexchange.com

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$$z=x+iy$$ $$\frac{z}{1+z}=\frac{z\bar{z}}{\bar{z}+z\bar{z}}=\frac{|z|^2}{|z|^2+\bar{z}}$$ $$z\bar{z}=|z|^2\implies\bar{z}=\frac{|z|^2}{z}$$ $$\Rightarrow ...

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