Techniques on finding Integer Solutions to Hyperboloid of Two Sheets X^2-6XY+Y^2+6X-2Y+1=Z^2

Author(s)	N.Thiruniraiselvi, M.A.Gopalan
Country	India
Abstract	In this paper, the Diophantine equation representing hyperboloid of two sheets given by X^2-6XY+Y^2+6X-2Y+1=Z^2 is considered and analyzed for its non-zero distinct solutions in integers. Varieties of solution patterns are determined through substitution technique and factorization method.
Keywords	Hyperboloid of two sheets, Ternary quadratic equation, Non-Homogeneous quadratic equation, Integer solutions
Field	Mathematics
Published In	Volume 6, Issue 3, May-June 2024
Published On	2024-06-05
Cite This	Techniques on finding Integer Solutions to Hyperboloid of Two Sheets X^2-6XY+Y^2+6X-2Y+1=Z^2 - N.Thiruniraiselvi, M.A.Gopalan - IJFMR Volume 6, Issue 3, May-June 2024. DOI 10.36948/ijfmr.2024.v06i03.22011
DOI	https://doi.org/10.36948/ijfmr.2024.v06i03.22011
Short DOI	https://doi.org/gtxrnb

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