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Can any1 here please give me an example of a diophantine equation and how to solve it?

theone

They're are loads of diophantine equations, jame's example is one of the more 'simpler' examples. Another one, far less obvious how to solve, is

3^y + 2^x = z^2, where x,y,z are positive integers. (This is an old BMO question).

3^y + 2^x = z^2, where x,y,z are positive integers. (This is an old BMO question).

a bit like q5 on this year's? so no trial and error then?

Funny that because the mathematical riddle concerning Diophantus has only one unknown, the length of his life. Didn't know that term "Diophantine equations", nice useful snippet of knowledge there...

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