perplexus.info :: Just Math : How many perfect squares

How many perfect squares (Posted on 2006-04-25)

Suppose a and b are positive integers. We all know that a²+2ab+b² is a perfect square. Give an example where also a²+ab+b² is a perfect square. How many such examples exist?

See The Solution Submitted by Salil

Rating: 3.0000 (2 votes)

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

Subject	Author	Date
re(3): Complete Solution	Samantha	2006-04-28 12:23:16
re(3): Complete Solution	K Sengupta	2006-04-28 10:53:51
re(2): Complete Solution	K Sengupta	2006-04-28 10:42:23
re: Complete Solution	Salil	2006-04-28 06:57:12
Complete Solution	K Sengupta	2006-04-27 22:44:08
No Subject	tomarken	2006-04-26 15:34:41
re(2): Adding to the solution...even numbers!	tomarken	2006-04-26 12:58:02
re: Adding to the solution...even numbers!	tomarken	2006-04-26 12:21:18
Adding to the solution...	tomarken	2006-04-26 10:03:03
Great	Salil	2006-04-25 20:53:26
re(4): Partial Solution	Dej Mar	2006-04-25 12:26:43
re(5): Partial Solution	tomarken	2006-04-25 11:40:02
re(4): Partial Solution	Charlie	2006-04-25 11:16:22
re(4): Partial Solution	tomarken	2006-04-25 11:08:12
re(3): Partial Solution	Charlie	2006-04-25 11:03:53
re(2): Partial Solution	tomarken	2006-04-25 10:08:34
re(2): Partial Solution	Charlie	2006-04-25 10:05:05
re: Partial Solution	Charlie	2006-04-25 09:54:50
Partial Solution	tomarken	2006-04-25 09:38:18

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