Year: 2015 | Month: April | Volume: 2 | Issue: 4 | Pages: 183-188
On The Negative Pell Equation y2 = 35x2-19
M.A. Gopalan1, S.Vidhyalakshmi1, T.R. Usharani2, M. Arulmozhi3
1Professor, 2Lecturer, 3PG Student,
Department of Mathematics, SIGC, Trichy-620002, Tamilnadu, India.
Corresponding author: M.A. Gopalan
The negative Pell equation represented by the binary quadratic equation y2 = 35x2-19 is analyzed for its non-zero distinct integer solutions. A few interesting relations among the solutions are presented. Employing the solutions of the equation under consideration, the integer solutions for a few choices of hyperbola and parabola are obtained.
Keywords: Binary quadratic, Hyperbola, Parabola, Integral solutions, Pell equation. 2010 Mathematics subject classification:11D09.