1. Locus of the Solutions of a Complex Quadratic Equation

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This Demonstration plots the locus of the solutions of a complex quadratic equation ; is fixed and moves on a circle with center and radius , where is a point on the circle.

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If , the locus is a Cassini oval with one loop.

If , the locus is a Cassini oval with two loops.

If , the locus is a Bernoulli lemniscate.

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Contributed by: Marko Razpet and Izidor Hafner (October 2018)
Open content licensed under CC BY-NC-SA


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