1. Locus of the Solutions of a Complex Quadratic Equation
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.[more]
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.[less]