# Connexions

##### Sections

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

 Name: Quadratic Equations: Solving Quadratic Equations Using the Quadratic Formula ID: m21927 Language: English (en) Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. Methods of solving quadratic equations as well as the logic underlying each method are discussed. Factoring, extraction of roots, completing the square, and the quadratic formula are carefully developed. The zero-factor property of real numbers is reintroduced. The chapter also includes graphs of quadratic equations based on the standard parabola, y = x^2, and applied problems from the areas of manufacturing, population, physics, geometry, mathematics (numbers and volumes), and astronomy, which are solved using the five-step method. Objectives of this module: recognize the standard form of a quadratic equation, understand the derivation of the quadratic formula, solve quadratic equations using the quadratic formula. Subject: Mathematics and Statistics Keywords: algebra, elementary, quadratics License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.4 (history) First publication date: Mar 19, 2009 1:38 am -0500 Last revision to module: Jun 1, 2009 11:17 am -0500

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## Version History

 Version: 1.4 Jun 1, 2009 11:17 am -0500 by Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 4:48 am -0500 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 3:47 am -0500 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 6:59 am -0500 by Changes: `First Publish.`

## How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include

• the authors' names: Wade Ellis, Denny Burzynski
• the Connexions URL where the work can be found: http://cnx.org/content/m21927/1.4/

See the citation section below for examples you can copy.

## How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

### American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Quadratic Equations: Solving Quadratic Equations Using the Quadratic Formula, Connexions Web site. http://cnx.org/content/m21927/1.4/, Jun 1, 2009.

### American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Quadratic Equations: Solving Quadratic Equations Using the Quadratic Formula [Connexions Web site]. June 1, 2009. Available at: http://cnx.org/content/m21927/1.4/.