Question 1074346
What number added to half the square of its reciprocal gives the smallest sum?  
:
The number has to be 1, 
graph y = {{{x + (.5(1/x)^2)}}}
graphically you can see the minimum is 1
{{{ graph( 300, 200, -2, 5, -4, 10, x + (.5(1/x)^2))}}}