Open AccessA Simple Solution for Diophantine Equations of Second, Third and Fourth Power
Author(s) -
A. K. Maran
Publication year - 2005
Publication title -
mapana journal of sciences
Language(s) - English
Resource type - Journals
ISSN - 0975-3303
DOI - 10.12723/mjs.6.17
Subject(s) - diophantine equation , diophantine set , pythagorean theorem , mathematics , simple (philosophy) , diophantine geometry , legendre's equation , pythagorean triple , set (abstract data type) , power (physics) , discrete mathematics , computer science , physics , philosophy , geometry , epistemology , quantum mechanics , programming language
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of three variables and four variables cre called Pythagorean triples and quadruples respectively. These cre Diophantine equation OF second power. The all unknowns in this Pythagorean equation have already Seen by mathematicians Euclid and Diophantine. Hcvwever the solution defined by Euclid are Diophantine is also again having unknowns. The only to solve the Diophantine equations wos and error method. Moreover, the trial and error method to obtain these values are not so practical and easy especially for time bound work, since the Diophantine equations are having more than unknown variables.