What is the Value of k in This SAT Math Problem?

[I'm]

Homework Statement

(n/(n-1)) x (1/n) x (n/(n+1)) = 5/k for positive integers n and k, what is the value of k>

Homework Equations

The Attempt at a Solution

I multiplied the left side out to be (n/(n^2-1) and set it equal to 5/k

I got stuck right there.

 

[jgens]

So what you've gotten is, n/(n² - 1) = 5/k

If that's true, then we should have,

(n² - 1)/n = k/5

Since we know that n != 0