SOLUTION: What number added to half the square of its reciprocal gives the smallest sum?

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Question 1074346: What number added to half the square of its reciprocal gives the smallest sum?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What number added to half the square of its reciprocal gives the smallest sum?
:
The number has to be 1,
graph y = x+%2B+%28.5%281%2Fx%29%5E2%29
graphically you can see the minimum is 1
+graph%28+300%2C+200%2C+-2%2C+5%2C+-4%2C+10%2C+x+%2B+%28.5%281%2Fx%29%5E2%29%29