Cover Image

Simultaneous Pell equations

This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, mi) and (50i...

Full description

Saved in:
Bibliographic Details
Main Authors: Sihabudin, Nurul Amirah, Sapar, Siti Hasana, Mohamad Johari, Mohamad Aidil
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Online Access:http://psasir.upm.edu.my/id/eprint/57356/1/Simultaneous%20Pell%20equations.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:psasir.upm.edu.my:57356
record_format eprints
spelling oai:psasir.upm.edu.my:57356 http://psasir.upm.edu.my/id/eprint/57356/ Simultaneous Pell equations Sihabudin, Nurul Amirah Sapar, Siti Hasana Mohamad Johari, Mohamad Aidil This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, mi) and (50i + 1, 10, 3, mi) for some expressions of mi where i is natural number. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57356/1/Simultaneous%20Pell%20equations.pdf Sihabudin, Nurul Amirah and Sapar, Siti Hasana and Mohamad Johari, Mohamad Aidil (2015) Simultaneous Pell equations. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-3). 10.1063/1.4954602
institution UPM IR
collection UPM IR
language English
description This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, mi) and (50i + 1, 10, 3, mi) for some expressions of mi where i is natural number.
format Conference or Workshop Item
author Sihabudin, Nurul Amirah
Sapar, Siti Hasana
Mohamad Johari, Mohamad Aidil
spellingShingle Sihabudin, Nurul Amirah
Sapar, Siti Hasana
Mohamad Johari, Mohamad Aidil
Simultaneous Pell equations
author_facet Sihabudin, Nurul Amirah
Sapar, Siti Hasana
Mohamad Johari, Mohamad Aidil
author_sort Sihabudin, Nurul Amirah
title Simultaneous Pell equations
title_short Simultaneous Pell equations
title_full Simultaneous Pell equations
title_fullStr Simultaneous Pell equations
title_full_unstemmed Simultaneous Pell equations
title_sort simultaneous pell equations
publisher AIP Publishing
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/57356/1/Simultaneous%20Pell%20equations.pdf
_version_ 1819297738069639168
score 13.4562235

Similar Items