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Visualizing Complex Roots of Quadratics

Visualizing Complex Roots of Quadratics
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2017-09-25 10:17
Coordinate GeometryComplex NumberGeometric Construction
This example demonstrates the visualization of complex roots of quadratics. It involves core concepts of complex numbers and coordinate geometry. Using GeoGebra commands such as Intersect, Midpoint, Circle, and LineBisector, the construction of complex roots of quadratics is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(g, xAxis) → A, A_2
  2. Midpoint(A, A_2) → B
  3. Circle(B, A_2) → d
  4. LineBisector(A, A_2) → h
  5. Intersect(d, h, 2) → C
  6. Intersect(d, h, 1) → D