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Integer Pair and Infinite Puzzle (Posted on 2015-09-20) Difficulty: 3 of 5
Each of p and q is a positive integer with gcd (p,q) =1 and the equation:
(x+p)3 = q*x has exactly three distinct integer solutions in x.

Do there exist infinitely many pairs (p,q) satisfying the given conditions? Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
I've got your cubes here, jerxdog2015-09-23 19:42:01
SolutionJer2015-09-22 13:39:31
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