IJPAM: Volume 14, No. 2 (2004)

RECIPROCAL SOLUTION OF A QUARTIC EQUATION

Yoshihiro Mochimaru
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
2-12-1, O-okayama, Meguro-ku
Tokyo 152-8550, JAPAN
e-mail: ymochima@o.cc.titech.ac.jp


Abstract.Reciprocal type of a solution of a quartic equation is given through a cubic equation, with zero-measure exception leading to a compound quadratic equation or a product of quadratic equations, the condition of the exception being expressed explicitly in terms of the coefficients of the equation.

Received: April 19, 2004

AMS Subject Classification: 11D25

Key Words and Phrases: quartic equation, reciprocal solution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 14
Issue: 2