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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.

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(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.