# Equations (Mathematics Curriculum)

# Quadratic Equations

## What Is a Quadratic Equation?

A quadratic equation is a type of equation.

A quadratic equation is 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 ^{2}** term.

Here is an example of a quadratic equation:

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

*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 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.