article
OBSERVATIONS ON THE HYPERPOLA Y2 = 35X2 +1
International journal of applied research · 2015 · Vol. 1(4) · pp. 108–110
Abstract
The binary quadratic equation y2 = 35x2+1 is analysed for its non-zero distinct integer solutions. A few interesting relations among the solutions are presented. Some interesting relations connecting the solutions and polygonal numbers are presented. Employing the integral solutions of the equation under consideration, a special Pythagorean triangle is obtained.
Mathematics and ApplicationsHistory and Theory of MathematicsAdvanced Mathematical Theories and ApplicationsPythagorean tripleMathematicsInteger (computer science)Quadratic equationBinary numberPythagorean theoremZero (linguistics)Applied mathematicsPure mathematicsArithmetic
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