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Some Quadratics Equal Square (Posted on 2009-08-10)

Determine all possible pair(s) (P, Q) of positive integers such that each of P² + 3Q and Q² + 3P is a perfect square.

Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Solution: (Hide)

(1,1), (11,16) and (16,11) are the only possible pairs that satisfy all the given conditions.

For an explanation, refer to the analytical solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytical solution (spoiler)	Steve Herman	2009-08-10 15:08:38
computer exploration -- possible solution	Charlie	2009-08-10 12:49:50

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