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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?

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

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Great | Comment 10 of 19 |
This question was posed to me more than 20 years back in an inteview of National Talent Search during my high school days. I used to think I had cracked couple of series then. Now based on your  ( Charlie, Tomarken & Dej Mar's ) findings looks like their is whole family of numbers. This is great to know.
  Posted by Salil on 2006-04-25 20:53:26
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