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

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Question 1184972: Find the geometric mean between x and 1/x
Answer by ikleyn(52887) About Me  (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.



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     |   So, there are TWO POSSIBLE answers: 1  OR  -1.   |
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It will be good mental exercise for you to think  and to understand WHY IT IS SO.