# Difference between revisions of "Completing the Square"

(New page: ===The Basics=== Completing the Square is a method commonly used to solve quadratic equations.) |
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− | Completing the Square is a method commonly used to solve quadratic equations. | + | '''Completing the Square''' is a method commonly used to solve quadratic equations. Often times, a quadratic equation can be factored and solved easily. However, there are plenty of times when an equation is not factorable. By completing the square, a quadratic equation originally in [[Parabola|standard form]] is rewritten into [[Parabola|vertex form]]. |

+ | |||

+ | The equation<br> | ||

+ | ===<math> ax^2+bx+c</math><br>=== | ||

+ | is converted into <br> | ||

+ | ===<math>a(x-h)^2+k</math>=== | ||

+ | <br> | ||

+ | through the process of '''completing the square'''. | ||

+ | |||

+ | ==Perfect Square Trinomial== | ||

+ | A '''perfect square trinomial''' is a big fancy word for a simple concept. It is a quadratic equation that factors perfectly into two identical binomials.<br> | ||

+ | In general |

## Revision as of 10:50, 15 June 2009

## Contents

## The Basics

**Completing the Square** is a method commonly used to solve quadratic equations. Often times, a quadratic equation can be factored and solved easily. However, there are plenty of times when an equation is not factorable. By completing the square, a quadratic equation originally in standard form is rewritten into vertex form.

The equation

is converted into

through the process of **completing the square**.

## Perfect Square Trinomial

A **perfect square trinomial** is a big fancy word for a simple concept. It is a quadratic equation that factors perfectly into two identical binomials.

In general