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Here is another interesting diophantine equation.

\(x^{2}+4y^{2}=(2xy-7)^{2}\)

Find all x and y so that they are integers

Here is a challenging diophantine problem to ponder about.

\(2x^{3}=x^{2}y^{4}+9y^{5}\)

\(6y^{3}=3x^{3}+xy^{3}\)

Find x and y so that they ...

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