perplexus.info :: Just Math : Quadratic and Perfect Square Query

Quadratic and Perfect Square Query (Posted on 2016-04-30)

Determine all possible pairs (X,Y) of positive integers such that each of
X² +Y and Y² + 17*X is a perfect square.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

the set of all positive integer solutions is (X,Y) = (1,8), (3,7), (20,84), (24,49), or (33,280).
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
Solution	Brian Smith	2016-07-22 23:53:36
computer exploration -- probable spoiler	Charlie	2016-04-30 09:05:23

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