- Topics At a Glance
- Squares
- Simplification of Radical Terms
- Multiplication
- Division
- Radicals in the Denominator
- Radical Arithmetic
- Addition and Subtraction
- Multiplication
- Division
**Quadratic Equations**- Taking Square Roots
- Completing the Square
- Quadratic Formula
- Solving Radical Equations
- The Pythagorean Theorem
- Word Problems
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem
- Yes, This Really Is a Square

A **quadratic equation** is an equation of the form

*ax*^{2} + *bx* + *c* = 0.

In other words, it's an equation that sets a quadratic polynomial equal to zero. Got that? On the left side of the equals sign, a quadratic polynomial, and on the right side...well, there ain't no thang.

We've solved some quadratic equations already by factoring to find the roots of the quadratic polynomial. Now we'll dive more deeply and learn how to solve quadratic equations that can't be easily factored. Don't go too fast or you'll get the bends.