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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2/5)*x+1/x = 35 // - 35
(2/5)*x+1/x-35 = 0
2/5*x^1+1*x^-1-35*x^0 = 0
(2/5*x^2-35*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(2/5*x^2-35*x^1+1*x^0) = 0
x^1
(2/5)*x^2-35*x+1 = 0
(2/5)*x^2-35*x+1 = 0
DELTA = (-35)^2-(1*4*(2/5))
DELTA = 6117/5
DELTA > 0
x = ((6117/5)^(1/2)+35)/(2*(2/5)) or x = (35-(6117/5)^(1/2))/(2*(2/5))
x = 5/4*((6117/5)^(1/2)+35) or x = 5/4*(35-(6117/5)^(1/2))
x in { 5/4*(35-(6117/5)^(1/2)), 5/4*((6117/5)^(1/2)+35)}
x in { 5/4*(35-(6117/5)^(1/2)), 5/4*((6117/5)^(1/2)+35) }
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