Open AccessON THE POSITIVE PELL EQUATION y^2 = 72x^2 + 36
Author(s) -
M. A. Gopalan,
A. Kavitha,
A.Jesintha Mary
Publication year - 2017
Publication title -
international journal of research - granthaalayah
Language(s) - English
Resource type - Journals
eISSN - 2394-3629
pISSN - 2350-0530
DOI - 10.29121/granthaalayah.v5.i7(se).2017.2126
Subject(s) - hyperbola , mathematics , pythagorean triple , quadratic equation , integer (computer science) , pythagorean theorem , binary number , combinatorics , geometry , arithmetic , computer science , programming language
The binary quadratic equation represented by the positive pellian Y2 = 72X2 + 36 is analysed for its distinct integer solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle.