# Complex Numbers

Hi there have i got this right if someone could check please? $$z=x+\imath{}y$$ Find the real and imaginary parts $$z+(1/z)$$ sub $$x+\imath{}y + \frac{1}{x+\imath{}y}$$ if we multiply by $$x+\imath{}y$$ and i get as the real part as $$x^2-y^2+1$$. Have i got this right? Thanks in advance

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