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