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How many perfect squares (Posted on 2006-04-25) Difficulty: 3 of 5
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?

  Submitted by Salil    
Rating: 3.0000 (2 votes)
Solution: (Hide)
K Sengupta's solution explains it completely. Even better than the way I had planned.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(3): Complete SolutionSamantha2006-04-28 12:23:16
re(3): Complete SolutionK Sengupta2006-04-28 10:53:51
re(2): Complete SolutionK Sengupta2006-04-28 10:42:23
re: Complete SolutionSalil2006-04-28 06:57:12
SolutionComplete SolutionK Sengupta2006-04-27 22:44:08
Some ThoughtsNo Subjecttomarken2006-04-26 15:34:41
Solutionre(2): Adding to the solution...even numbers!tomarken2006-04-26 12:58:02
Solutionre: Adding to the solution...even numbers!tomarken2006-04-26 12:21:18
SolutionAdding to the solution...tomarken2006-04-26 10:03:03
GreatSalil2006-04-25 20:53:26
re(4): Partial SolutionDej Mar2006-04-25 12:26:43
Solutionre(5): Partial Solutiontomarken2006-04-25 11:40:02
re(4): Partial SolutionCharlie2006-04-25 11:16:22
re(4): Partial Solutiontomarken2006-04-25 11:08:12
re(3): Partial SolutionCharlie2006-04-25 11:03:53
Solutionre(2): Partial Solutiontomarken2006-04-25 10:08:34
re(2): Partial SolutionCharlie2006-04-25 10:05:05
re: Partial SolutionCharlie2006-04-25 09:54:50
Hints/TipsPartial Solutiontomarken2006-04-25 09:38:18
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