# 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 = ax^{2} + bx + c ?

**Prerequisite:** This essay assumes familiarity with complex numbers. Read

chapter 22 of THINKING MATHEMATICS!, Volume 2.

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Graphing complex solutions to quadratics