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Graphical Solution of a Quadratic Equation with Complex Coefficients

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This Demonstration shows how to graphically determine the roots and of a quadratic equation , with complex and . The roots are .

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

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Since the difference, sum, product and square roots of complex numbers can be constructed using ruler and compass, the roots of a quadratic equation can be constructed as well.

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