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Integer solutions?

Is there any triplets of distinct positive integers $$(x,y,z)$$ such that $$\dfrac{x^2+y^2+z^2}{x+y+z}$$ and $$\dfrac{x^2+y^2+z^2}{xyz}$$ are both integers?

Note by Vikram Pandya
4 months, 2 weeks ago

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