# Quadratic Equations

## Factorising to Solve Quadratic Equations

## Video

This video from *patrickJMT* explains how to factorise and solve quadratic equations.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

## Notes

These notes from MathCentre show how quadratic equations may be solved by factorising. Try the exercises on page 2 for some practice factorising and solving quadratic equations.

A pdf of this document can be downloaded here.

## Interactive Exercises

Try the following NUMBAS exercises to practise solving quadratic equations by factorising.

Please click here to view this NUMBAS question in another window.

## Using the Quadratic Formula to Solve Quadratic Equations

## Videos

This video from *Maynooth University* explains how to use the quadratic formula to solve quadratic equations.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

## Notes

These notes from MathCentre show how the quadratic formula can be used to solve quadratic equations. Try the exercises on page 2 for some practice using the quadratic formula.

A pdf of this document can be downloaded here.

## Interactive Exercises

Practise using the quadratic formula to solve quadratic equations with the following NUMBAS exercises.

Please click here to view this NUMBAS question in another window.

## Completing the Square to Solve Quadratic Equations

## Videos

In this video from *patrickJMT* a quadratic equation is solved by completing the square.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

## Notes

Read Section 3 (page 5) of these notes from MathCentre to learn how to use the method of completing the square to solve quadratic equations. Try the exercises on page 6 for some practice.

A pdf of this document can be downloaded here.

## Interactive Exercises

Try the following NUMBAS exercises to practise solving quadratic equations by completing the square.

Please click here to view this NUMBAS question in another window.