NON HOMOGENEOUS ON THE BINARY QUADRATIC EQUATION 4 x 2 3 y 2 37
DOI:
https://doi.org/10.48165/Keywords:
Non homogeneous, binary quadratic, Pell-like equation, hyperbola, parabola, integral solutions, Special numbersAbstract
This paper deals with the problem of obtaining non-zero distinct integer solutions to the non homogeneous binary quadratic equation represented by the Pell-like equation 4 x2 - 3 y2 = 37. Different sets of integersolutions are presented. Employing the solutions of the above equation, integer solutions for other choices of hyperbolas and parabolas are obtained. A special Pythagorean triangle is also determined.
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