TY - JOUR
T1 - On the Negative Pell Equation y2=45x2-11
AU - Gopalan, M.A.
AU - Vidhyalakshmi, S.
AU - Pandichelvi, V.
AU - Sivakamasundari, P.
AU - Priyadharsini, C.
JF - International Journal of Pure Mathematical Sciences
VL - 16
SP - 30
EP - 36
SN - 2297-6205
PY - 2016
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/IJPMS.16.30
UR - https://www.scipress.com/IJPMS.16.30
KW - Binary Quadratic
KW - Hyperbola
KW - Integral Solutions
KW - Parabola
KW - Pell Equation
AB - The binary quadratic equation represented by the negative pellian y2=45x2-11 is analyzed for its distinct integer solutions. A few interesting relations among the solutions are also given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle.
ER -