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Integer Roots (Posted on 2006-10-14) Difficulty: 2 of 5
Find all integers n for which the equation x3 - 13x + n = 0 has three integer roots.

See The Solution Submitted by Bractals    
Rating: 2.5000 (2 votes)

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Some Thoughts re(2): Some thoughts Comment 5 of 5 |
(In reply to re: Some thoughts by Richard)

Oops, that's what comes from working online... Having p+pq+q=13 allows p=1 and q=3 (or viceversa), producing roots 1, 3, and -4; p=-1 and q=-3 produces -1, -3, and 4 as roots.
  Posted by Federico Kereki on 2006-10-15 12:42:03

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