Electronic Proceedings of the Tenth Annual International Conference on Technology in Collegiate MathematicsChicago, Illinois, November 69, 1997Paper C003
Cubic Equations  Their Presence, Importance and Applications in the Age of Technology 
Robert Kreczner
Department of Mathematics and Computing
University of Wisconsin
Stevens Point, WI 54481
USA
Phone: (715) 3463754
Fax: (715) 3464260
rkreczne@uwsp.edu
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In this article we will attempt, with the help of modern mathematical
technology, to revive an interest and research among teachers and students in cubic and
higher order equations. The article, written in attractive Mathematica's notebook format,
basically comprises two themes: It uses Mathematica 3.0 to discover simple and natural
methods, algebra and calculus based methods, for solving exactly a cubic equation. Once
the idea is discover, then the computation can be easily carried out by a hand, by anyone
with standard algebra or calculus skills. In the second part we will show variety of
different problems whose solution requires solving a nontrivial cubic equation. In that
part we will take advantage of Mathematica to do the computation.
Keyword(s): college algebra, Mathematica