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?
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
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.
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.