(A) x is a two digit positive integer with no leading zero and d is the product of its digits. Determine all possible values of x such that x² – 10x – d is a perfect square.

(B) p is a two digit positive integer with no leading zero and c is the product of its digits. Determine all possible values of p such that p² – 12p – c is a perfect square.

(In reply to By program (spoiler) by Jer)

Thanks Jer.

I confirm having hyperlinked your methodology in my solution.

 

Posted by K Sengupta on 2008-03-23 10:29:35