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Paper Details
Paper Title
Study On the Hyperbola 9x^2-7y^2=8
Authors
M.A.Gopalan, J. Shanthi, S.Vidhyalakshmi
Abstract
The hyperbola represented by the binary quadratic equation 9x^2-7y^2=8 is analyzed for finding its non-zero distinct integer solutions. A few interesting relations among its solutions are presented. Also, knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbolas and parabolas are presented. The formulation of second order Ramanujan Numbers with base numbers as real integers and Gaussian integers is illustrated.
Keywords- Hyperbola, pell-like equation, non-homogeneous quadratic, integer solutions, second order Ramanujan number
Publication Details
Unique Identification Number - IJEDR2102025Page Number(s) - 160-168Pubished in - Volume 9 | Issue 2 | May 2021DOI (Digital Object Identifier) - Publisher - IJEDR (ISSN - 2321-9939)
Cite this Article
M.A.Gopalan, J. Shanthi, S.Vidhyalakshmi, "Study On the Hyperbola 9x^2-7y^2=8", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.9, Issue 2, pp.160-168, May 2021, Available at :http://www.ijedr.org/papers/IJEDR2102025.pdf
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