perplexus.info :: Just Math : Expression Ratio

Expression Ratio (Posted on 2013-09-03)

Determine all pairs (a,b) of positive integers with a > b, for which (a²+b²)/(a-b) is an integer which divides 1995.

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

a. b. 2 1 3 1 6 3 9 3 14 7 21 7 38. 19 42 21 57. 19 63 21 114 57 171 57 266 133 399 133 798 399 1197 399
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.
Jer has also offered an analytical solution innterms of his 2 comments.

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

Subject	Author	Date
re: Method Finished	Jer	2013-09-04 13:57:20
Method	Jer	2013-09-04 13:28:20
interesting	xdog	2013-09-03 20:55:27
No Subject	Charlie	2013-09-03 19:51:38

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