Minimum of sum

Find a positive number that the sum of the number and its inverted value was minimal.

Correct answer:

x =  1

Step-by-step explanation:

f(x) = x + 1/x x>0 f(x) = 1 1/x2 1 1/x2=0 x21=0  x21=0 x1,2=±1=±1 x1=1 x2=1 x=x1=1

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