4. Locus of the Solutions of a Complex Quadratic Equation

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This Demonstration constructs the locus of the solutions of a complex quadratic equation , where is fixed and moves along a line through and .

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The locus is an algebraic curve of degree three. Special cases are the union of a circle and a line or a line and a point. If is a positive real number and moves on the vertical line through , the locus is a strophoid.

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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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