Home > Just Math
Integer Pair and Infinite Puzzle (Posted on 2015-09-20) |
|
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.
Comments: (
You must be logged in to post comments.)
|
|
Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ |
About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
|