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Integer Root Illation (Posted on 2016-04-23) Difficulty: 3 of 5
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 4 of 5 |
(In reply to re: solution by armando)

According to the rule of signs there are either one or three positive roots and no negative roots. 

http://mathworld.wolfram.com/DescartesSignRule.html
  Posted by xdog on 2016-04-24 13:25:47
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