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Short Communication

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

ABSTRACT

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.

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