• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2016, Volume: 9, Issue: 1, Pages: 1-3

Original Article

Observation on the Ternary Quadratic Diophantine Equation x2 = 22k+1 (3z2 – y2 )


Objectives: Finding the integral solutions of ternary quadratic equation and the relation between parameters/solutions. The ternary quadratic Diophantine equation is studied for it’s non-trivial distinct integral solutions. Findings: Employing the integral solutions of the equation under consideration infinitely many Pythagorean triangles are obtained where each of which satisfies the relation “Hypotenuse-4(area/Perimeter) is a Nasty number”.

Keywords: Integral Solutions, Ternary Quadratic Equation


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