### 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

Email: rkreczne@uwsp.edu

Phone: (715) 346-3754

Fax: (715) 346-4260

#### ABSTRACT

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 non-trivial cubic equation. In that
part we will take advantage of Mathematica to do the computation.