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About: Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots

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

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Name: Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots
ID: m21922
Language: English (en)
Summary: This module is from Elementary Algebra</link> 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: be able to solve quadratic equations using the method of extraction of roots, be able to determine the nature of the solutions to a quadratic equation.
Subject: Mathematics and Statistics
Keywords: algebra, elementary, extraction of roots, quadratics
License: Creative Commons Attribution License CC-BY 3.0

Authors: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Copyright Holders: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Maintainers: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu), LearningMate LearningMate (abhijit.chaturvedi@learningmate.com), Matt Gardner (mgardner@wordsandnumbers.com)

Latest version: 1.5 (history)
First publication date: Mar 19, 2009 1:35 am -0500
Last revision to module: Aug 16, 2010 2:04 pm -0500

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Version History

Version: 1.5 Aug 16, 2010 2:04 pm -0500 by Collins Williamson
Changes:
bug fix

Version: 1.4 Jun 1, 2009 11:17 am -0500 by Connexions
Changes:
Removed link from summary.

Version: 1.3 May 27, 2009 4:47 am -0500 by LearningMate LearningMate
Changes:
Final Publish.

Version: 1.2 Apr 28, 2009 3:47 am -0500 by LearningMate LearningMate
Changes:
Dynamic Links added

Version: 1.1 Apr 16, 2009 6:57 am -0500 by LearningMate LearningMate
Changes:
First Publish.

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American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots, OpenStax-CNX Web site. http://cnx.org/content/m21922/1.5/, Aug 16, 2010.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots [OpenStax-CNX Web site]. August 16, 2010. Available at: http://cnx.org/content/m21922/1.5/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2010, August 16). Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m21922/1.5/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots." OpenStax-CNX. August 16, 2010. http://cnx.org/content/m21922/1.5/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots," OpenStax-CNX, August 16, 2010, http://cnx.org/content/m21922/1.5/.

Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2010. Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots. OpenStax-CNX, August 16, 2010. http://cnx.org/content/m21922/1.5/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Quadratic Equations: Solving Quadratic Equations Using the Method of Extraction of Roots. OpenStax-CNX. 16 Aug. 2010 <http://cnx.org/content/m21922/1.5/>.