Difference between revisions of "Completing the Square"

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(New page: ===The Basics=== Completing the Square is a method commonly used to solve quadratic equations.)
 
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===The Basics===
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==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. 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]].
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The equation<br>
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===<math> ax^2+bx+c</math><br>===
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is converted into <br>
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===<math>a(x-h)^2+k</math>===
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<br>
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through the process of '''completing the square'''.
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==Perfect Square Trinomial==
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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>
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In general

Revision as of 10:50, 15 June 2009

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

 ax^2+bx+c

is converted into

a(x-h)^2+k


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