Diophantine Equation

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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.

Enrichment task

(1) Find integer solutions of the equation $7x-11y=1$

One method of solution of this equation uses Continued Fraction

(2) Find integer solutions of the equation $x^2+y^2=z^2$

These solutions are called Pythagorean Triplets because of Pythagoras' Theorem.

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