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)

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re: My solution

| Comment 6 of 10 |

(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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