SOLUTION: Find m^2 + 1/m^2 if m + 1/m =9.

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Question 1162316: Find m^2 + 1/m^2 if m + 1/m =9.
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find m^2 + 1/m^2 if m + 1/m = 9






Edwin

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

If  m + 1%2Fm = 9, 


then, squaring,  you get


    m%5E2 + 1%2Fm%5E2 + 2%2Am%2A%281%2Fm%29 = 81,


or


    m%5E2 + 1%2Fm%5E2 = 81 - 2 = 79.


ANSWER.  If  m + 1%2Fm = 9,  then   m%5E2 + 1%2Fm%5E2 = 79.

Solved, answered, explained and completed.