NON HOMOGENEOUS ON THE BINARY QUADRATIC EQUATION 4 x 2  3 y 2  37

Authors

  • S Vidhyalakshmi Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu 620002, India.
  • E Premalatha Assistant Professor, Department of Mathematics, National College, Trichy, Tamil Nadu 620001, India.
  • D Maheshwari Assistant Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy Tamil Nadu 620002, India.

DOI:

https://doi.org/10.48165/

Keywords:

Non homogeneous, binary quadratic, Pell-like equation, hyperbola, parabola, integral solutions, Special numbers

Abstract

This paper deals with the problem of obtaining non-zero distinct integer solutions to the non homogeneous binary quadratic equation represented by the Pell-like equation 4 x2 - 3 y2 = 37. Different sets of integersolutions are presented. Employing the solutions of the above equation, integer solutions for other choices of hyperbolas and parabolas are obtained. A special Pythagorean triangle is also determined.

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Published

2019-06-14

Issue

Vol. 38 No. 1 (2019): Bulletin of Pure and Applied Sciences (Math & Stat) (Jan-Jun) 2019

Section

Articles

How to Cite

Vidhyalakshmi, S., Premalatha, E., & Maheshwari, D. (2019). NON HOMOGENEOUS ON THE BINARY QUADRATIC EQUATION 4 x 2  3 y 2  37. Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 38(1), 324–328. https://doi.org/10.48165/
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