Diophantine equation $x^2+y^2+1=xyz$

Question

Let $x,y,z$ be positive integers such that $x^2+y^2+1=xyz$. Show that $z=3.$

http://math.stackexchange.com/questions/115272/let-x-and-y-be-positive-integers-such-that-xy-mid-x2y21 — lab bhattacharjee, Sep 22 '14 at 16:27

score 0 · Answer 1 · answered Sep 22 '14 at 16:28

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Have you ever tried Vieta Jumping? I think its's a good method for approaching this kind of problems.

answered Sep 22 '14 at 16:28

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