International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Integral Solutions of the Ternion Quadratic Equation 4(x2+y2)-7xy+2(x+y+2)=10z2

Author(s) Ms. Gowri ShankariA A, Dr. Janaki G
Country India
Abstract In order to find its non zero unique integral solutions for the quadratic diophantine equation with three unknowns given by 4(x2+y2)-7xy+2(x+y+2)=10z2 is analysed. The equation under consideration exhibits multiple patterns of solutions. The solutions are presented with a few fascinating aspects.
Keywords Quadratic equation with three unknowns, integral solutions, polygonal numbers.
Field Mathematics
Published In Volume 7, Issue 3, May-June 2025
Published On 2025-06-09
DOI https://doi.org/10.36948/ijfmr.2025.v07i03.45965
Short DOI https://doi.org/g9pztc
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