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

Question 967730: How to simplify :
(n+2)!/(n)! = 110
Thank you

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