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Another Quintic Problem (Posted on 2006-05-31) Difficulty: 4 of 5
The equation x5 23x3 66x2 +px +q =0 has three non-zero roots, and two of them are integers, with multiplicity 2.

Find p and q and determine all the roots of the given equation.

See The Solution Submitted by K Sengupta    
Rating: 3.6667 (3 votes)

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Some Thoughts re: Who needs p and q? (SPOILER) | Comment 3 of 5 |
(In reply to Who needs p and q? (SPOILER) by Old Original Oskar!)

There is a sign problem in the "Solving..." paragraph: for b=+/-1, then a=-2, or for b=+/-2, then a=-1, so a=-2 and b=-1, and the roots come to be -2 (twice), -1 (twice), and 6 (once).

  Posted by Federico Kereki on 2006-05-31 14:51:12

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