1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lynna [10]
3 years ago
7

Find all integers $n$ for which $\frac{n^2+n+1}{n-1}$ is an integer.

Mathematics
1 answer:
Grace [21]3 years ago
7 0
\dfrac{n^2+n+1}{n-1}=\dfrac{(n-1)^2+3(n-1)+3}{n-1}=n-2+\dfrac3{n-1}

The remainder term \dfrac3{n-1} will never vanish, and will always be rational as long as the denominator is not 1, 3, or -3.

n-1=1\implies n=2
n-1=3\implies n=4
n-1=-3\implies n=-2
You might be interested in
Which inequality matches the graph?
alexdok [17]

The inequality that matches the graph would be C. -3x + 2y  ≥ 7.

4 0
2 years ago
Help on this math stuff
liq [111]

Plan A would be better


6 0
3 years ago
The product of two integers is 72.<br> If one integer is 9 what is the other integer?
lianna [129]

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

6 0
2 years ago
T what do you guys think of this (I know this is for help with math but I have no socail media.)​
Tpy6a [65]

Answer:

This is very cute.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help!! Screenshot below.
antiseptic1488 [7]
X=60 and if you plug in 60 to that equation, it equals 15.


1/4 x 60 =15

Hope this helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the assessed valuation of a house with a $67,170 market value and a 49 percent assessment rate?
    13·1 answer
  • Please help I'm not good with fractions (the circled ones)
    7·1 answer
  • Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from
    15·1 answer
  • An Explanation Or Answer?
    9·2 answers
  • If a basketball has a volume of 12,114.7 cm3, what is the distance across of a basketball
    13·1 answer
  • You want to order a pizza that costs $12.99 with no toppings. Each topping you choose costs $0.75. Which of these equations best
    10·2 answers
  • PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE
    12·1 answer
  • Which polynomial represents the sum below (x^8 + 2x^4 + 1) + (2x^4 + x^2 + 1)
    10·1 answer
  • PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and
    9·1 answer
  • At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win i
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!