Complex Roots by Nadezhda Konstantinova
Loading the math board and drawing, please wait…
This example demonstrates the representation and distribution of complex roots of an equation in the complex plane. Core math concepts include complex numbers, equation roots, complex plane, vectors, and angles. It uses GeoGebra commands like Textfield, Sequence, Angle, and Vector to dynamically visualize complex roots and their properties, making it suitable for high school and above students to understand the geometric meaning and visualization of complex numbers and equation roots.
GeoGebra Commands & Parameters
Textfield(a) → inputBox1Textfield(b) → inputBox2Sequence((arg(z_1) + ((2 * π) * k)) / c, k, 0, c - 1) → angle_iSequence((r^(1 / c) * (cos(Element[angle_i, k]) + (sin(Element[angle_i, k]) * ί))), k, 1, c) → x_iSequence(Vector[(0, 0), Element[x_i, k]], k, 1, c) → list1Angle(Vector[Element[list1, 1]], Vector[Element[list1, 2]]) → βVector((0, 0), z_1) → u