This question is as a somewhat sequel to a question from my dear friend Kazem Sepehrinia where he used a brand-new method in solving his diophantine equation.At that point, I failed to understand what he meant but now after a bit of studying I'm starting to get into the flow of things.Yesterday I came across this problem as an example in one of my books and thought I could share that with you guys.

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- Prove that an infinitely many number of Natural triplets \( (x,y,z) \) satisfy the following equation:(Brazil - 1996)

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\(x^2+y^2+z^2 = 3xyz \)

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Credits to :Kazem Sepehrinia for sharing his awesome problem

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