Finding Roots of Quadratic with Compass and Ruler

This example demonstrates how to find the roots of a quadratic equation using compass and ruler constructions. Key math concepts involved include quadratic equations, roots, midpoints, circles, and intersections. The construction utilizes GeoGebra commands and objects such as Segment, Midpoint, Circle, Intersect, SurdText, and LaTeX. It is suitable for middle school and above students to understand the connection between geometric constructions and algebraic equations.