ERIC Number: EJ1093372
Record Type: Journal
Publication Date: 2015
Reference Count: 5
Graphical Solution of the Monic Quadratic Equation with Complex Coefficients
Laine, A. D.
Australian Senior Mathematics Journal, v29 n2 p24-30 2015
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.
Descriptors: Geometric Concepts, Geometry, Equations (Mathematics), Problem Solving, Secondary School Mathematics, College Mathematics, Demonstrations (Educational), Mathematical Applications, Mathematics Activities, Graphs, Foreign Countries
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: firstname.lastname@example.org; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; Higher Education; Postsecondary Education
Authoring Institution: N/A
Identifiers - Location: Australia