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Modeling Complex Roots of a Quadratic Equation

Modeling Complex Roots of a Quadratic Equation
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2017-02-05 01:01
FunctionCoordinate GeometryComplex Number
This example demonstrates the modeling of complex roots of a quadratic equation. Key mathematical concepts include complex numbers, roots of quadratic equations, and extrema. Using GeoGebra commands such as ComplexRoot, Extremum, and IntersectPath, the dynamic changes in the complex roots of a quadratic equation can be shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(g) → InputBox1
  2. ComplexRoot(g) → Root1, Root2
  3. Extremum(g) → Vertex
  4. Textfield(f) → InputBox2
  5. Textfield(a) → InputBox3
  6. Textfield(b) → InputBox4
  7. Textfield(c) → InputBox5
  8. Plane((0, 0, 0), (x(Vertex), 0, 10), (x(Vertex), 0, y(Vertex))) → d
  9. IntersectPath(d, f) → e
  10. Plane((x(Vertex), 10, 0), x + (0 * z) = x(Vertex)) → i
  11. IntersectPath(i, h) → k
  12. CompleteSquare(g) → p
  13. Line(B, Vertex) → j