perplexus.info :: Just Math : Integer Root Illation

Integer Root Illation (Posted on 2016-04-23)

Determine all possible pairs (P,Q) of positive integers such that each of the roots of:
X³ - 17X² + Px - Q² = 0 is an integer.

No Solution Yet Submitted by K Sengupta

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re(2): solution

Comment 5 of 5 |

(In reply to re: solution by armando)

Interesting. I didn't know that rules which in fact simplify a lot.

I think it was Confucio who said that it's quite difficult to find a black cat in a dark room, specially if there is no cat.

That was my case with this problem.

Posted by armando on 2016-04-24 15:44:04

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