• M.A.Gopalan

A peer search is made on the integral solutions of positive and negative pell equations given by y^2=30x^2+19 and y^2=12x^2+44 in two sections A and B respectively. A few interesting relations among the solutions for the above two pell equations are presented. Also, employing the integer solutions of the equations under consideration, integer solutions for other choices of hyperbola and parabola are exhibited along with the corresponding pell equation. Further, a few interesting relations between special polygonal numbers generated through the solutions of the equation under consideration are presented.

Positive pell equation, negative pell equation, non-homogeneous binary quadratic equation, integer solutions

"Observation On Two Special Pell Equations y^2=30x^2+19 and y^2=12x^2+44", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.296-308, June 2019, Available :http://www.jetir.org/papers/JETIR1908349.pdf

"Observation On Two Special Pell Equations y^2=30x^2+19 and y^2=12x^2+44", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp296-308, June 2019, Available at : http://www.jetir.org/papers/JETIR1908349.pdf