SOLUTION: Find the positive value of X if the geometric mean between 1 and 9 is X.

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Question 1105452: Find the positive value of X if the geometric mean between 1 and 9 is X.
Found 3 solutions by Alan3354, rothauserc, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the positive value of X if the geometric mean between 1 and 9 is X.
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Ratio = r
--> 1, r, r^2
r^2 = 9
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Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
9 * 1 = 9
:
square root(9) = 3 or -3
:
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positive value for X is 3
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:

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the positive value of X if the geometric mean between 1 and 9 is X.
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The formulation in the post is INCORRECT.

The correct formulation is THIS:

    Find the highlight%28cross%28positive%29%29 value of X if the geometric mean highlight%28cross%28between%29%29  of  1  and  9  is  X.


1.  Geometric mean is defined for positive  (non-negative)  values of the input parameters  ONLY.

2.  By the definition,  geometric mean is always positive  (non-negative)  number.