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Simultaneous Surmise (Posted on 2014-11-29) Difficulty: 4 of 5
Each of X and Y is a positive integer.

Can X2 +Y+2 and Y2 + 4X be simultaneously perfect squares?

If so, provide an example.
If not, prove it.

No Solution Yet Submitted by K Sengupta    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Finally! | Comment 2 of 3 |
(In reply to Finally! by Math Man)

Nice one.

It took me quite a while to figure out where 2x+1 and 2y+1 came from.  Now I only wonder what made you think to introduce them.

  Posted by Jer on 2014-11-29 22:27:41

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