SOLUTION: How to simplify : (n+2)!/(n)! = 110 Thank you

Algebra ->  Probability-and-statistics -> SOLUTION: How to simplify : (n+2)!/(n)! = 110 Thank you       Log On


   

Question 967730: How to simplify :
(n+2)!/(n)! = 110
Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How to simplify :
(n+2)!/(n)! = 110
---------
[(n+2)(n+1)n!]/[n!] = 110
--------
(n+2)(n+1) = 110
--------
n^2 + 3n + 2 = 110
--------
n^2 + 3n - 107 = 0
-------
n = [-3+- sqrt(9-4*-107)]/2
-------
n = [-3 +- sqrt(437)]/2
-------
n = [-3+20.90]/2 = 8.9522
OR
n = [-3-20.90]/2 = -11.95
--------------
Cheers,
Stan H.
----------------