• OBSERVATIONS ON THE HYPERBOLA...

SHREEMATHI ADIGA*, N. ANUSHEELA, M. A. GOPALAN

Abstract


This paper concerns with the problem of finding non-zero distinct integer solutions to the Pell-like equation represented by . A few interesting relations among its solutions are presented. Also, knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbolas and parabolas are presented. Employing the solutions, a special Pythagorean triangle is constructed.


Keywords


Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions.

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