perplexus.info :: Just Math : Square Result Rumination

Square Result Rumination (Posted on 2014-09-28)

Each of X and Y is a positive integer such that each of X+Y and X/Y is a perfect square.

Does there exist an infinite number of pairs (X,Y) satisfying all the given conditions?
Give reasons for your answer.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Technical solution--but a larger question remains.

| Comment 1 of 6

Take any even perfect square. Make x and y each be 1/2 that square. As x and y are equal, x/y will be 1, a perfect square. There are infinitely many of these.

But are there infinitely many where x is not equal to y?

Posted by Charlie on 2014-09-28 09:04:20

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info