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# math divisibility level 4

Find all positive numbers $(a,b)$ such that

$\frac{b^3+1}{ba-1}$ is an integer.

Note by Riemann Stella
2 months ago

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I think the answer is $$(5,3),$$ $$(3,5),$$ $$(1,3).$$ Am I right?

- 3 weeks, 1 day ago