1. Solve by factorising
  2. Solve by completing the square
  3. Solve by the quadratic formula

All quadratic equations have the form ax2 + bx + c = 0 where a ≠ 0

If a quadratic equation factorises then we can solve it by using a factorising method as shown in this video.

In this tutorial you are shown how to solve a quadratic equation by using the method of completing the square. This is often used when a quadratic equation does not factorise.

Some quadratic equations cannot be solved by factorising and so an alternative method is the quadratic formula. It is based on a method called completing the square.

This tutorial shows you when to use it, clues that are given in a question and common mistakes that are often made.

How to Derive the Quadratic Formula