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Math Help - Complicated Algebra, though I reckon theres a simple answer!

  1. #1
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    Complicated Algebra, though I reckon theres a simple answer!

    I have been out of eduacation for while so am a bit rusty on my maths, but basically I started with a binomial expansion and have windled it down to the following alebraic equation which i cant seem to simplify anymore!

    (n/9)*0.9^n + 0.9^n = 0.5

    And obviously im trying to find n, which I know is around 16.5, but only through guessing!
    Attached Thumbnails Attached Thumbnails Complicated Algebra, though I reckon theres a simple answer!-alegra.bmp  
    Last edited by mr fantastic; October 11th 2009 at 08:31 PM.
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  2. #2
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    Quote Originally Posted by ryanhorne View Post
    I have been out of eduacation for while so am a bit rusty on my maths, but basically I started with a binomial expansion and have windled it down to the following alebraic equation which i cant seem to simplify anymore!

    (n/9)*0.9^n + 0.9^n = 0.5

    And obviously im trying to find n, which I know is around 16.5, but only through guessing!
    [IMG]file:///C:/DOCUME%7E1/RYAN2%7E1/LOCALS%7E1/Temp/moz-screenshot.png[/IMG][IMG]file:///C:/DOCUME%7E1/RYAN2%7E1/LOCALS%7E1/Temp/moz-screenshot-1.png[/IMG]
    An exact answer cannot be obtained using algebraic methods (unless you introduce new functions). Why do you rquire an exact value? And if you don't, then just use technology to solve to required accuracy.
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  3. #3
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    I agree

    Yes, I do not think a value of n can be obtained from this, as I have spent hours slaving over this! So will have to use Excel.

    Cheers for your help
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  4. #4
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    I don't know how to solve this problem, but I do have mathematica and I think that's a better tool than excel.

    The answers are -6.802379497590862, 16.441793453448483
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