DOI: 10.36347/sjet

Pages: 156-158

The binary quadratic Diophantine equation represented by x2 15y2 11t , t odd is analysed for its nonzero distinct integer solutions. Employing the lemma of Brahmagupta, infinitely many integral solutions of the above Pell equation are obtained. The recurrence relations on the solutions are also presented. A few interesting relations among the solutions are given. Further, there exist no integer solutions when t is even.