Literaturnachweis - Detailanzeige
Autor/in | Laine, A. D. |
---|---|
Titel | Graphical Solution of the Monic Quadratic Equation with Complex Coefficients |
Quelle | In: Australian Senior Mathematics Journal, 29 (2015) 2, S.24-30 (7 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0819-4564 |
Schlagwörter | Geometric Concepts; Geometry; Equations (Mathematics); Problem Solving; Secondary School Mathematics; College Mathematics; Demonstrations (Educational); Mathematical Applications; Mathematics Activities; Graphs; Foreign Countries; Australia |
Abstract | There are many geometrical approaches to the solution of the quadratic equation with real coefficients. In this article it is shown that the monic quadratic equation with complex coefficients can also be solved graphically, by the intersection of two hyperbolas; one hyperbola being derived from the real part of the quadratic equation and one from the imaginary part. Both hyperbolas are of relatively simple form. Special solutions correspond to one or both of the hyperbolas being degenerate. This article is of potential interest to secondary school students with some exposure to complex numbers and first year university students. (ERIC). |
Anmerkungen | Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2021/2/06 |