Edit made on February 13, 2009 by derekcouzens at 20:37:30
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A Diophantine Equation is a polynomial equation in which the solutions are limited to integers only.
Named after Diophantus of Alexandria.
Fermat's Last Theorem refers to a Diophantine equation.
(1) Find integer solutions of the equation EQN:7x-11y=1
* One method of solution of this equation uses Continued Fraction
(2) Find integer solutions of the equation EQN:x^2+y^2=z^2
* These solutions are called Pythagorean Triplets because of Pythagoras' Theorem.
This is one of the many Enrichment tasks on this site.