perplexus.info :: Just Math : Positively Positive

Positively Positive (Posted on 2016-10-18)

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.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Puzzle Thoughts

Comment 10 of 10 |

(In reply to Puzzle Thoughts by K Sengupta)

Brian Smith's proof does INDEED help finding the said closure after 7 years.

Posted by K Sengupta on 2023-12-24 07:26:33

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