Find the number of integers n for which `n/(20-n)` is the square of an integer.

Find number of integers n such that n^(4)-n^(2)+64 is the square of an integer.

Find the sum of all those integers n for which n^2+20n+15 is the square of an integer.

The sum of all values of integers n for which (n^2-9)/(n-1) is also an integer is

Let m be the smallest odd positive iteger for which 1 + 2+ …..+ m is a square of an integer and let n be the smallest even positive integer for which 1 + 2+ ……+ n is a square of an integer. What is the value of m + n ?

Number of integral values of n for which the quantity (n+i)^(4) is an integer

ce number of positive integers n for which n+96 is a The perfect square is b.12c. infinite