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Algebra

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 Joined: 15 Sep 2011 Post: 17
15 Sep 2011 22:44:47 IST
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Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

The no. Of +ve integer n for which n2+96 is a perfect square is?

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Joined: 21 Jun 2011
Posts: 743
16 Sep 2011 12:18:52 IST
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a better wauy to do it will be by simple smart counting ... it will be easy .. first see if two squares have a difference of 96 amongst them ( not a difficult job , as difference increases continuously ) ..then take it as ( n+1)^2 + 95 and check for difference of 95 ..the take it as (n+2)^2 + 92 .. and check for 92 ... similarly at last check for (n+9)^2 + 15 ..and get the no. of positive inteegers

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Joined: 28 Feb 2007
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21 Sep 2011 21:22:32 IST
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