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Extraneous Solutions for Quadratic Equations

Author:
Steve Phelps
Topic:
Equations, Quadratic Equations
Drag point A around in the applet below. As you know, when the graph intersects the x-axis, the associated quadratic equation will have two roots. When the equation does not intersect the x-axis, the associated quadratic equation will have two complex conjugate solutions.  How do we interpret the geometric significance of the complex roots?

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