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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(6*x^3-(5*x^2)-(4*x)+3)/x-1 = 0
(6*x^3-5*x^2-4*x+3)/x-1 = 0
(6*x^3-5*x^2-4*x+3)/x+(-1*x)/x = 0
6*x^3-5*x^2-4*x-1*x+3 = 0
6*x^3-5*x^2-5*x+3 = 0
6*x^3-5*x^2-5*x+3 = 0
6*x^3-5*x^2-5*x+3 = 0
{ 1, -1, 3, -3 }
1
x = 1
6*x^3-5*x^2-5*x+3 = -1
1
-1
x = -1
6*x^3-5*x^2-5*x+3 = -3
-1
3
x = 3
6*x^3-5*x^2-5*x+3 = 105
3
-3
x = -3
6*x^3-5*x^2-5*x+3 = -189
-3
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6, 3/2, -3/2, 3/3, -3/3, 3/6, -3/6, -3/2, 3/2, -3/3, 3/3, -3/6, 3/6 }
1/2
x
1/2
6*x^3-5*x^2-5*x+3 = 0
1/2
x-1/2
6*x^2-2*x-6
6*x^3-5*x^2-5*x+3
x-1/2
3*x^2-6*x^3
3-2*x^2-5*x
2*x^2-x
3-6*x
6*x-3
0
6*x^2-2*x-6 = 0
DELTA = (-2)^2-(-6*4*6)
DELTA = 148
DELTA > 0
x = (148^(1/2)+2)/(2*6) or x = (2-148^(1/2))/(2*6)
x = (2*37^(1/2)+2)/12 or x = (2-2*37^(1/2))/12
x in { (2-2*37^(1/2))/12, (2*37^(1/2)+2)/12, 1/2}
(x-((2-2*37^(1/2))/12))*(x-((2*37^(1/2)+2)/12))*(x-1/2) = 0
((x-((2-2*37^(1/2))/12))*(x-((2*37^(1/2)+2)/12))*(x-1/2))/x = 0
((x-((2-2*37^(1/2))/12))*(x-((2*37^(1/2)+2)/12))*(x-1/2))/x = 0 // * x
(x-((2-2*37^(1/2))/12))*(x-((2*37^(1/2)+2)/12))*(x-1/2) = 0
( x-((2*37^(1/2)+2)/12) )
x-((2*37^(1/2)+2)/12) = 0 // + (2*37^(1/2)+2)/12
x = (2*37^(1/2)+2)/12
( x-((2-2*37^(1/2))/12) )
x-((2-2*37^(1/2))/12) = 0 // + (2-2*37^(1/2))/12
x = (2-2*37^(1/2))/12
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
x in { (2*37^(1/2)+2)/12, (2-2*37^(1/2))/12, 1/2 }
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