Graphing complex solutions to quadratics

Have you ever wondered if anything can be said graphically about the complex
solutions to a quadratic equation ax² + bx + c = 0 with no real solutions? Do the
location of those complex roots have any connection to the graph of
y = ax² + bx + c ?

Prerequisite: This essay assumes familiarity with complex numbers. Read
chapter 22 of THINKING MATHEMATICS!, Volume 2.

Download full essay (pdf):
Graphing complex solutions to quadratics

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