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Algebra 2 - 2nd Edition

Chapter 4: Solving Quadratic Equations That Have Complex Solutions

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Some links are repeated for use with more than one lesson.

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These links are for use with the entire chapter.

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut17_quad.htm
This page contains a lesson on quadratic equations.

http://www-history.mcs.st-and.ac.uk/history/HistTopics/Quadratic_etc_equations.html
This page contains information of the history of quadratic equations.

http://www.themathpage.com/alg/quadratic-equations.htm
This page contains an interactive tutorial on quadratic equations. Pass mouse over each colored area to reveal.

http://edhelper.com/QuadraticEquations.htm
This page contains free printable worksheets on quadratic equations.

4.1 Solving Quadratic Equations by Graphing

http://www.teachertube.com/viewVideo.php?video_id=20844
This page contains a video on solving quadratic equation by graphing.

http://www.ronblond.com/M11/QFA.sf.APPLET/index.html
This page contains an applet for graphing quadratic equations and see the solution. This website requires Java to run some of its features.

4.2 Solving Quadratic Equations Using Square Roots

http://webgraphing.com/quadraticequation_squarerootmethod.jsp
This page contains several quadratic equation solvers with step-by-step instructions, including one that uses the square root method.

4.3 Solving Quadratic Equations by Completing the Square

http://www.freemathhelp.com/Lessons/Algebra_2_Completing_the_Square_and_the_Quadratic_Formula_BB.htm
This page has a video lecture on completing the square and the quadratic formula.

http://www.mathsisfun.com/algebra/completing-square.html
This page explains the technique of "completing the square" to solve a quadratic, including practice problems.

http://www.purplemath.com/modules/sqrquad.htm
This series of pages (Click Next) contains a tutorial on completing the square and shows how the quadratic formula is derived.

4.4 Solving Quadratic Equations by Factoring

http://www.regentsprep.org/regents/math/algtrig/ATE3/indexATE3.htm
This page contains links that review all methods for factoring quadratic equations.

http://www.purplemath.com/modules/solvquad.htm
This series of pages contains a detailed review of solving quadratic equations by factoring.

4.5 Solving Quadratic Equations Using the Quadratic Formula

http://math.uww.edu/~mcfarlat/141/quadrat.htm
This page contains a self-test on solving by using the quadratic formula.

http://www.intmath.com/Quadratic-equations/Quadratic-equations-intro.php
This series of pages (click arrow icon for next page) gives an overview of the several methods for solving quadratics, concluding with the quadratic formula.

4.6 Solving Quadratic Equations Having Complex Solutions

http://coolmath.com/algebra/10-complex-numbers/03-quadratic-formula-01.htm
The pages in this lesson demonstrate how the quadratic formula can yield solutions that are complex numbers.

http://www.sosmath.com/algebra/factor/fac09/fac09.html
This page shows how complex numbers are needed to write the solutions for some quadratics, and includes practice problems.