In this book, we introduce the quadratic formula and explain its basic properties and uses. Several examples are given to demonstrate how to apply the quadratic formula and to illustrate the different kinds of solutions one may obtain when using it. The goal of this book is to teach students a practical way of thinking about what the quadratic formula does and show when and how to apply it, in a way suitable for all students. Many examples are given throughout to aid in the understanding and execution of new concepts; we strongly believe in teaching by examples, and that repetition is the best way to internalize new ideas. Each example intends to guide the student through the thinking process without skipping steps and touches on all of the new material presented.