# maths

posted by .

What is the sum of all integer values of n such that 3n+15/(n−1)(n−5) is also an integer

• maths -

since (n-1)(n-5) <= 3n+15 for -1 <= n <= 10, that limits our choices

listing the values of n, (3n+15) and (n-1)(n-5), we have

-1 12 14 no
0 15 5 YES
1 18 0 no
2 21 -3 YES
3 24 -4 YES
4 27 -3 YES
5 30 0 no
6 33 5 no
7 36 12 YES
8 39 21 no
9 42 32 no
10 45 45 YES

0+2+3+4+7+10 = 26

## Similar Questions

1. ### maths

What is the sum of all integer values of n satisfying 1≤n≤100, such that n2−1 is a product of exactly two distinct prime numbers?
2. ### Maths

What is the sum of all integer values of n satisfying 1≤n≤100, such that n2−1 is a product of exactly two distinct prime numbers?
3. ### Maths

What is the sum of all integer values of n satisfying 1≤n≤100, such that n2−1 is a product of exactly two distinct prime numbers?
4. ### Maths

What is the sum of all integer values of n satisfying 1≤n≤100, such that n^2−1 is a product of exactly two distinct prime numbers?
5. ### math

Find the sum of all integers m that are less than 1000 and equal to n!+1−−−−−√ for some positive integer n.
6. ### maths

f(x) is a polynomial with integer coefficients and degree at most 10. There are N distinct integer values for which f(n)=2, and M distinct integer values for which f(m)=−2. What is the maximum possible value of NM?
7. ### Algebra

What is the sum of all possible integer values of x such that (x^2−35x+305)^(x^2−42x+416)=1?
8. ### Exponential

What is the sum of all integer values of x such that (x^2−17x+71)^(x^2−34x+240)=1?
9. ### math

For every prime p consider all polynomials f(x) with integer coefficients from 1 to p and degree at most p−1, such that for all integers x the number f(2x)−f(x) is divisible by p. Find the sum of all primes p<1000 such …
10. ### math

For every prime p consider all polynomials f(x) with integer coefficients from 1 to p and degree at most p−1, such that for all integers x the number f(2x)−f(x) is divisible by p. Find the sum of all primes p<1000 such …

More Similar Questions