SOLUTION: Find the geometric mean between x and 1/x

Question 1184972: Find the geometric mean between x and 1/x
Answer by ikleyn(52903) (Show Source): You can put this solution on YOUR website!
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Actually,  there are  TWO  possible geometric means between the numbers  x  and  1/x.


One geometric mean between the numbers  x  and  1/x  is the number  1.


Other geometric mean between the numbers  x  and  1/x  is the number  -1.



     +----------------------------------------------------+
     |   So, there are TWO POSSIBLE answers: 1  OR  -1.   |
     +----------------------------------------------------+



It will be good mental exercise for you to think  and to understand WHY IT IS SO.

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