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Given the Equation, Find the Solution (Posted on 2024-07-05)

Find all pairs (x, y) of positive integers that satisfy this equation:
(y+1)^y = 2*y^x+3y+1

*** Adapted from a problem which appeared at the 2012 Spanish Mathematical Olympiad.

No Solution Yet Submitted by K Sengupta

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Lots of solutions but...

| Comment 2 of 3 |

There are an infinite number of solutions when y=0, but these are not allowed. x=0 and y=2 is also not allowed. That leaves x=y=3 as the only solution per Larry's post.

Posted by Kenny M on 2024-07-05 18:10:25

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