In this episode, we have presented infinitely many number solutions for the Diophantine equation, presented by hyperbola is given by y2 = 90x2 - 36 . The arched represented by the twofold quadratic equation y2 = 90x2 - 36 is resolved for finding its non-zero different integer solutions. A few entertaining relations among allure solutions are presented. Also, aware an integral solution of the likely hyperbola, integer answers for other choices of hyperbolas and parabolas are bestowed Also, employing the solutions of the likely equation, special Pythagorean trio is constructed. Diophantine equations enter place a wide variety; one can expect further options and ascertain the number solutions and appropriate features of those equatings.
Author(s) Details:
N. Anusheela,
Department
of Mathematics, Government Arts College, Udhagamandalam, The Nilgiris-643 002,
India.
Shreemathi
Adiga,
Department
of Mathematics, Government First Grade College, Koteshwara, Kundapura Taluk,
Udupi-576222, Karnataka, India.
M. A. Gopalan,
Department of Mathematics, Shrimati Indira Gandhi College,
Trichy-620 002, Tamil Nadu, India.
Please see the link here: https://stm.bookpi.org/RATMCS-V4/article/view/11811
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