Is n^2 - 2 a multiple of n

My name is John Lau and I am a student at Piedmont Middle. I am in 8th

Find all positive integers n so that n² - 2 is a multiple of n - 4.

Hi John,

Here is a hint:

n³ - 2 is a multiple of n-4,
if and only if
n³ -2 -n²(n-4) is a multiple of n-4.
So the question is to find out for what n
4n²-2 is a multiple of n-4.
Proceed in a similar way.

Cheers,
Sukanta Go to Math Central