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OBSERVATION ON THE NEGATIVE PELLIAN EQUATION

Journal: Universal Journal of Mathematics (Vol.1, No. 2)

Publication Date:

Authors : ; ; ; ;

Page : 41-45

Keywords : Binary quadratic; hyperbola; parabola; integral solutions; pell equation; polygonal numbers. 2010 mathematics subject classification : 11D09;

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Abstract

The binary quadratic equation represented by the negative pellian is analyzed for its distinct integer solutions. A few interesting relations among the solutions are also given. Employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle. Further, employing the integer solutions of the negative pellian equation under consideration, a few interesting relations between special polygonal numbers are obtained.

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Last modified: 2016-06-26 19:13:48