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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x-4 = 38/x-5 // - 38/x-5
6*x-(38/x)-4+5 = 0
6*x-38*x^-1-4+5 = 0
6*x^1-38*x^-1+1*x^0 = 0
(6*x^2+1*x^1-38*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2+1*x^1-38*x^0) = 0
x^1
6*x^2+x-38 = 0
6*x^2+x-38 = 0
DELTA = 1^2-(-38*4*6)
DELTA = 913
DELTA > 0
x = (913^(1/2)-1)/(2*6) or x = (-913^(1/2)-1)/(2*6)
x = (913^(1/2)-1)/12 or x = (-(913^(1/2)+1))/12
x in { (-(913^(1/2)+1))/12, (913^(1/2)-1)/12}
x in { (-(913^(1/2)+1))/12, (913^(1/2)-1)/12 }
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