Short Communication Year: 2015 | Month: 04 | Volume: 2 | Issue: 4 | Pages: 183-188 On The Negative Pell Equation y^{2} = 35x^{2}-19 M.A. Gopalan^{1}, S.Vidhyalakshmi^{1}, T.R. Usharani^{2}, M. Arulmozhi^{3} ^{1}Professor, ^{2}Lecturer, ^{3}PG Student, Corresponding author: M.A. Gopalan ABSTRACT The negative Pell equation represented by the binary quadratic equation y^{2} = 35x^{2}-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. |