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Positively Positive (Posted on 2016-10-18) Difficulty: 3 of 5
Find all pairs (A, B) of positive integers such that each of the equations
x2 - A*x + B = 0 and x2 - B*x + A=0 has positive integer roots.

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: My solution | Comment 6 of 7 |
(In reply to My solution by Ady TZIDON)

I do not think this approach is right, as the problem does not call for the two equations to have identical couples of roots.
  Posted by Steve Herman on 2016-10-19 07:11:28

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