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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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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