Pellian Equation Involving Factorian Number

The positive Pellian binary quadratic equation 2 2 145X 1  Y is studied for its distinct integer solutions, along with an analysis of several interesting relationships among them. Furthermore, by utilizing the solutions various hyperbolas, parabolas, and special Pythagorean triangles are generated.

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Publication Details

Journal
International Journal for Research in Applied Science and Engineering Technology
Published
2025-03-15
DOI
https://doi.org/10.22214/ijraset.2025.67413
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

Pellian Equation Involving Factorian Number

P. Saranya
International Journal for Research in Applied Science and Engineering Technology
Differential Equations and Numerical Methods
article

Pellian Equation Involving Factorian Number

P. Saranya
article en

Abstract

The positive Pellian binary quadratic equation 2 2 145X 1  Y is studied for its distinct integer solutions, along with an analysis of several interesting relationships among them. Furthermore, by utilizing the solutions various hyperbolas, parabolas, and special Pythagorean triangles are generated.

International Journal for Research in Applied Science and Engineering TechnologyVol. 13(3)
Openalex Percentile: Top 92%
Differential Equations and Numerical Methods
DOIOpen Access PDFOpenAlex
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Pellian Equation Involving Factorian Number — P. Saranya · International Journal for Research in Applied Science and Engineering Technology (2025) | TGRS Research Map | TGRS