Real eq's for a complex inverse. "lungs and circles"

Just some simple eqs for (a+bi)^(-1). Interesting to include this though, as I haven't found any other eq's that actually include circles, much less two, and some weird squishy ellipses to boot.
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KwolZ —

 
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addition  angle  circle  collection  complex-numbers  constructions  curve-sketching  ellipse  equation  functions  geometry tutorial Voir davantage …
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