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.
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.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.