Does anyone know an algorithm for solving this kind of diophantine equation? Are there any solutions?
2026-04-05 13:32:34.1775395954
Diophantine equation: $18x^2 + 36y^2 =x^2 y^2$
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Hint: rewrite the equation as $$x^2y^2-18x^2-36y^2 + 18\cdot 36 = 18\cdot 36$$ or $$(x^2-36)(y^2-18) = 648.$$