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?

(In reply to

re(2): Complete Solution by K Sengupta)

I confirm having suitably amended the texts constituting my earlier post entitled "Complete Solution".

*Edited on ***April 28, 2006, 10:55 am**