Question 1118953
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Then your function to minimize is


S = {{{x + 17*(17/x)}}} = {{{x + 289/x}}}.


Take the derivative on x and equate it to zero:


1 - 289/x^2 = 0  ====>  x^2 = 289  ====>  x = +/-17.


<U>Answer</U>.  The local extremum values of x  are  17  and  -17.


         In the domain  x > 0  only the solution x= 17 works.



{{{graph( 330, 330, -30.5, 30.5, -100.5, 100.5,
          x + 289/x
)}}}


Plot of the function  S = {{{x + 289/x}}}
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