SOLUTION: Find all integers n for which (n^2+n+1)/(n-1) is an integer.

SOLUTION: Find all integers n for which (n^2+n+1)/(n-1) is an integer.

Algebra.Com

Question 1077690: Find all integers n for which (n^2+n+1)/(n-1) is an integer.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

1    |     1    1    1
     |
     |          1    2
     |______________________
           1    2    3

Same as .

n can be -2, or 2, two workable examples.
RELATED QUESTIONS
Find all integers n for which \frac{n^2 + n + 1}{n - 2 + n^3} is an integer. (answered by CPhill,math_tutor2020)

Determine all positive integers n for which {{{2^n + 1}}} is divisible by... (answered by mathie123)

which is greater? (n+2)(n+1)(n)(n-1)(n-2) or... (answered by Alan3354)

Find the largest positive integer $n$ such that \[\frac{(n + 1)^2}{n + 2}\] is an... (answered by Edwin McCravy,math_tutor2020)

show that 1(1!)+2(2!)+3(3!)+...+n(n!)= (n+1)!-1 for all positive integers... (answered by venugopalramana)

Prove that for all positive integers n,... (answered by Edwin McCravy)

Find all positive integers n for which n^2 - 19n + 59 + n^2 + 4n - 31 is a perfect... (answered by CPhill)

Prove that (n+1)! >2 n for all n>1. (answered by rothauserc)

Find all positive integers $n$ for which $n^2 - 19n + 99$ is a perfect... (answered by KMST)