Nature of Roots by Ahmad Apriyanto

This example demonstrates the nature of roots of quadratic equations through dynamic interaction, showing how roots change geometrically. Key math concepts include discriminant, Vieta's formulas, ellipse and incircle properties, and optimization problems. The construction uses the Intersect command with objects a, b, c, f, g, A, B to find and plot critical geometric elements. Suitable for high school and above learners to understand the geometric meaning of roots and optimization.