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 How many perfect squares (Posted on 2006-04-25)
Suppose a and b are positive integers. We all know that aČ+2ab+bČ is a perfect square. Give an example where also aČ+ab+bČ is a perfect square. How many such examples exist?

 See The Solution Submitted by Salil Rating: 3.0000 (2 votes)

 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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