Jawapan

Jawapan Paling Bijak!
2014-10-20T23:42:17+08:00
n^3+2n^{2} = n^{2}(n+2) = m^2 
there exists positive integer k such that(n+2)=k^2.
=> n+2 must be a perfect square
minimum possible value such that n+2 is a perfect square is 2 and maximum value is n=959, n+2=961=31^{2} There are 30 values of n. Since m is dependent on n, therefore, we only need to find n.
smallest value of  k^{2} is  2^{2} and largest is 31 ^{2}
==There are 30 values for n such that n+2 is a perfect square., ==
2 5 2