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D( x )
x^2 = 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+(3*x)/(x^2)-55 = 0
6*x^1+3*x^-1-55*x^0 = 0
(6*x^2-55*x^1+3*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-55*x^1+3*x^0) = 0
x^1
6*x^2-55*x+3 = 0
6*x^2-55*x+3 = 0
DELTA = (-55)^2-(3*4*6)
DELTA = 2953
DELTA > 0
x = (2953^(1/2)+55)/(2*6) or x = (55-2953^(1/2))/(2*6)
x = (2953^(1/2)+55)/12 or x = (55-2953^(1/2))/12
x in { (55-2953^(1/2))/12, (2953^(1/2)+55)/12}
x in { (55-2953^(1/2))/12, (2953^(1/2)+55)/12 }
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