A Glimpse on the Integer Solutions to the Hyperbola 8x<sup>2</sup> = 5y<sup>2</sup> + 27

The hyperbolas given by 8x2 = 5y2 + 27 is considered to obtain its solutions in integers.Various relations amoung the solutions are exhibited.Using the known solutions of the equations in title hyperbolas,parabolas,special Pythagorean triangle and second order Ramanujan numbers are determind.Facinating properties involving figurate numbers are given.

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-08-23
DOI
https://doi.org/10.52783/anvi.v27.719
Primary Topic
Tensor decomposition and applications
Type
article
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article

A Glimpse on the Integer Solutions to the Hyperbola 8x2 = 5y2 + 27

R. Sathiyapriya
Advances in Nonlinear Variational Inequalities
Tensor decomposition and applications
article

A Glimpse on the Integer Solutions to the Hyperbola 8x2 = 5y2 + 27

R. Sathiyapriya
article en

Abstract

The hyperbolas given by 8x2 = 5y2 + 27 is considered to obtain its solutions in integers.Various relations amoung the solutions are exhibited.Using the known solutions of the equations in title hyperbolas,parabolas,special Pythagorean triangle and second order Ramanujan numbers are determind.Facinating properties involving figurate numbers are given.

Advances in Nonlinear Variational InequalitiesVol. 27(2)
Openalex Percentile: Top 82%
Tensor decomposition and applications
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A Glimpse on the Integer Solutions to the Hyperbola 8x<sup>2</sup> = 5y<sup>2</sup> + 27 — R. Sathiyapriya · Advances in Nonlinear Variational Inequalities (2024) | TGRS Research Map | TGRS