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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*(3*x-(5/x)-1) = 0
2*(3*x-5*x^-1-1) = 0
3*x-5*x^-1-1 = 0
3*x^1-5*x^-1-1*x^0 = 0
(3*x^2-1*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-1*x^1-5*x^0) = 0
x^1
3*x^2-x-5 = 0
3*x^2-x-5 = 0
DELTA = (-1)^2-(-5*3*4)
DELTA = 61
DELTA > 0
x = (61^(1/2)+1)/(2*3) or x = (1-61^(1/2))/(2*3)
x = (61^(1/2)+1)/6 or x = (1-61^(1/2))/6
x in { (1-61^(1/2))/6, (61^(1/2)+1)/6}
(x-((1-61^(1/2))/6))*(x-((61^(1/2)+1)/6)) = 0
2*(x-((1-61^(1/2))/6))*(x-((61^(1/2)+1)/6)) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((1-61^(1/2))/6) )
x-((1-61^(1/2))/6) = 0 // + (1-61^(1/2))/6
x = (1-61^(1/2))/6
( x-((61^(1/2)+1)/6) )
x-((61^(1/2)+1)/6) = 0 // + (61^(1/2)+1)/6
x = (61^(1/2)+1)/6
x in { (1-61^(1/2))/6, (61^(1/2)+1)/6 }
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