# Equations (Mathematics Curriculum)

## Quadratic Equations

## What Is a Quadratic Equation?

A quadratic equation is an equation in the form:**a**,

**b**and

**c**are constants that stand in for particular numbers.

**x**is a variable and can take any number. The highest power of

**x**in a quadratic equation is

**2**. It has an

**x**term. Here is an example of a quadratic equation:

^{2}A quadratic equation shows a curve when plotted on a graph. Here is the quadratic equation above plotted on a graph:

## Dictionary Definition

The Oxford English Dictionary defines a quadratic equation as "an equation of the second degree; specifically an equation of the form*ax*, where

^{2}+ bx + c = 0*a*,

*b*, and

*c*are constants and

*x*is unknown."

## Where Does the Word Quadratic Come From?

The word "quadratic" comes from the word "quad", meaning "square" - because the**x**is squared.

## Quadratic Equation Curriculum

All the lessons on this page are related to quadratic equations. They are grouped into mini-curriculums (or*curricula*if you prefer the Latin plural) to help you organise your learning. A brief description is given for each mini-curriculum. Click the

**MORE**button for an overview of the topic and for the links to the specific lessons and tests.

## We Have Widgets!

Many of our lessons feature widgets like the one below. This widget lets you create your own graph and download it as an image, which – if you're a tutor – you might find useful for creating worksheets.## Quadratic Equations

Quadratic equations are equations where **x ^{2}** is the highest power of

**x**. Quadratic equations show curves when plotted. In this mini-curriculum, you will learn about quadratic equations.

## Solving Quadratic Equations

Solving a quadratic equation means finding the value of **x** that make the equation equal to 0.
There are different ways to solve quadratic equations.
In this mini-curriculum, you will learn how to solve quadratic equations.

## Difference of Squares

A difference of squares is one squared quantity (a number or letter multiplied by itself) subtracted from another squared quantity. Some quadratic equations are in the form of a difference of squares. They can be factored and solved in an easy way. In this mini-curriculum, you will learn about the difference of squares.

## Completing the Square

Completing the square is a way of writing a quadratic equation. In this mini-curriculum, you will learn about completing the square.