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?
Here are some examples of pairs of values (a and b are interchangeable, of course):
a b

3 5
7 8
6 10
9 15
5 16
14 16
12 20
I'm not sure at this point how many more examples exist...

Posted by tomarken
on 20060425 09:38:18 