One of the main benefits of factorising quadratic expressions is that it allows us to solve quadratic equations. Let’s see this in practice below:

Examples

Solve x²-5x+6=0;

Solve 6x²-x-15=0.

Notice that a quadratic equation will typically (though not always) have two solutions.

Exercise

Let’s complete exercise 19G from pages 314 and 315 of the textbook:

The answers are below: