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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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re: Complete Solution | Comment 16 of 19 |
(In reply to Complete Solution by K Sengupta)

But a=3 & b=5 does not satisfy the equations which you have derived. Couldn't find anything wrong with your derivation either!!!
  Posted by Salil on 2006-04-28 06:57:12

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