perplexus.info :: Just Math : How many perfect squares

How many perfect squares (Posted on 2006-04-25)

Suppose a and b are positive integers. We all know that a²+2ab+b² is a perfect square. Give an example where also a²+ab+b² 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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