Graphing Complex Roots of Quadratic Equations

Graphing Complex Roots of Quadratic Equations
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2018-04-27 16:10
This example demonstrates plotting the complex roots of quadratic equations on the complex plane. Key math concepts include complex numbers, discriminants of quadratic equations, and the complex coordinate system. GeoGebra commands used are Intersect, OrthogonalLine, and ComplexRoot, with objects like A, p, q, f, s, t, g, h, B, C, D, E, a_1, text6, text7, text8, z_3, z_4, u, c, text9, text1, text2, a. Suitable for high school mathematics education to understand the geometric meaning of complex roots and properties of quadratic equations.

GeoGebra Commands & Parameters

  1. Intersect(f, xAxis) → B, C
  2. Intersect(h, xAxis) → D, E
  3. OrthogonalLine(A, xAxis) → a_1
  4. ComplexRoot(f) → z_3, z_4