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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*x+5/x = 7 // - 7
(1/2)*x+5/x-7 = 0
1/2*x^1+5*x^-1-7*x^0 = 0
(1/2*x^2-7*x^1+5*x^0)/(x^1) = 0 // * x^2
x^1*(1/2*x^2-7*x^1+5*x^0) = 0
x^1
(1/2)*x^2-7*x+5 = 0
(1/2)*x^2-7*x+5 = 0
DELTA = (-7)^2-(4*5*(1/2))
DELTA = 39
DELTA > 0
x = (39^(1/2)+7)/(2*(1/2)) or x = (7-39^(1/2))/(2*(1/2))
x = 39^(1/2)+7 or x = 7-39^(1/2)
x in { 7-39^(1/2), 39^(1/2)+7}
x in { 7-39^(1/2), 39^(1/2)+7 }
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