Geometric Mean

Discussion in 'Spam Heaven' started by blounder, Feb 25, 2007.

  1. blounder

    blounder Well-Known Member

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    I don't know how to calculate geometric mean and I have a test tomorrow :(

    Can someone help me out?

    Here is an example:
    The geometric mean of x + 1 and 3x + 1 is 3x - 1, find all possible values of x.

    Can someone post how to solve the problem?
     
  2. xlink

    xlink GR's Tech Enthusiast

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    the geometric mean of 1, 2, and 4 would be (1*2*4)^(1/3) or 2
    the geometric mean of 1 and 4 would be 2
    the geometric mean of 1 and 9 would be 3

    essentially multiply all the numbers together and then for each term put the total to the 1/n power where n is the number of terms.

    I learned this in geometry in the 8th grade

    when i say learned, I meant he teacher went over it for around 10-20 seconds and never spoke of it again and I have no idea how the hell I remember since I've never used it since.






    ============
    (x + 1)(3x + 1)=(3x - 1)^2

    just solve it for X
     
  3. sillychicken

    sillychicken Well-Known Member

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    sry if its a bit late.. but lets say ur trying to find the geometric mean between 2 and 8... then

    2/X = X/8 <-- fractions

    which would work out to

    x² = 16

    which would work out to

    x = 4

    so the geometric mean between 2 and 8 is 4.
     
  4. xlink

    xlink GR's Tech Enthusiast

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    you failed to note for possibilities including more than one value, while that does work for such a scenario, it does not work for anything with more than two values. It doesn't even work for things with only 1 value.
     

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