Exploring the Roots of a Cubic
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This example uses GeoGebra to explore the roots of a cubic equation. Key mathematical concepts include complex numbers and derivatives. The construction involves using b, c, and d as coefficients of the cubic equation, constructing the cubic function f, and displaying the roots using z_1, z_2, and z_3. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
ComplexRoot(x^(3) + (b * x^(2)) + (c * x) + d) → z_1, z_2, z_3