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Posted by on Wednesday, July 3, 2013 at 4:33pm.

Factorial notation problem. Please help?

Hi, I am stuck on this maths problem. Solve for n: (n+2)!/(n)! =110. I get as far as (n+2)(n+1) = 110. When I multiply it out I get n^2,3n,2 = 110. There is only one example similar to this in my book and it used a quadratic equation to solve it. I feel like that is the next step. I am just unsure of what to do with the 2 I have left over from multiplying out the binomial. I'm really sorry if this doesn't make sense. It's been several years since I had to study mathematics and I am really rusty. Any help is greatly appreciated.

  • math - , Wednesday, July 3, 2013 at 5:34pm

    110 = 2*5*11
    So, if n=9, (n+1)(n+2) = 10*11 = 110

    Or, algebraically,

    n^2+3n+2 = 110
    n^2+3n-108 = 0
    (n+12)(n-9) = 0
    n = 9,-12

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