Outline

# How Many Ways Can You Solve a Quadratic Equation Visually?

**MEAD 2023: How Many Ways Can You Solve a Quadratic Equation Visually?**A quadratic equation’s solution is an important part of the curriculum including geometry, numbers (real and complex), and functions. Visualizing the solution is a valuable tool at any level. Take an historical tour using GeoGebra through various visualizations over centuries concluding with

- graphs
- mapping diagrams and
- recent work on visualizing complex functions with 3 dimensional mapping diagrams

## Table of Contents

### Introduction and Some Ancient History

### Cartesian Geometry; Graphs and Function Approaches

### Mapping Diagrams for Quadratic Equations

- Mapping Diagram, Spreadsheet, Graph, Realign, Focus
- Mapping (Function) Diagrams to Visualize and Make Sense of Solving Linear and Quadratic Equations
- Table and Mapping Diagram for A Complex Linear Function
- Complex Variable Function Mapping Diagrams and Solving Real and Complex Quadratic Equations
- Mapping Diagrams for Complex Quadratic Functions & Equations