Quadratic equations are a fundamental concept in algebra. They are equations of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. This guide will help you understand the basics of quadratic equations, including how to solve them.

Key Concepts

  • Standard Form: ax² + bx + c = 0
  • Discriminant: Δ = b² - 4ac
  • Roots: The solutions to the quadratic equation

Solving Quadratic Equations

There are several methods to solve quadratic equations:

  • Factoring: This method is used when the quadratic equation can be factored into two binomials.
  • Completing the Square: This method is used to transform the quadratic equation into a perfect square trinomial.
  • Using the Quadratic Formula: This formula provides the solutions to any quadratic equation.

Example

Let's solve the quadratic equation x² - 5x + 6 = 0.

  1. Factoring: (x - 2)(x - 3) = 0
  2. Roots: x = 2, x = 3

Resources

For more information on quadratic equations, check out our Algebra Basics.

Quadratic Equation Graph