perplexus.info :: Just Math : Simultaneous Surmise

Simultaneous Surmise (Posted on 2014-11-29)

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.

Submitted by K Sengupta

Rating: 3.6667 (3 votes)

Solution: (Hide)

It is impossible to have X²+Y+2 and Y²+4X both as squares.
For an explanation, refer to the solution submitted by Math Man in this location.
Additional explanatory comments is given here by broll.

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

Subject	Author	Date
re: Finally!	broll	2014-11-29 22:28:33
re: Finally!	Jer	2014-11-29 22:27:41
Finally!	Math Man	2014-11-29 10:16:30

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