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D( x )
3*x-4 = 0
3*x-4 = 0
3*x-4 = 0
3*x-4 = 0 // + 4
3*x = 4 // : 3
x = 4/3
x in (-oo:4/3) U (4/3:+oo)
(3*x^3-(19*x^2)+29*x-12)/(3*x-4) = 0
(3*x^3-19*x^2+29*x-12)/(3*x-4) = 0
3*x^3-19*x^2+29*x-12 = 0
3*x^3-19*x^2+29*x-12 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }
1
x = 1
3*x^3-19*x^2+29*x-12 = 1
1
-1
x = -1
3*x^3-19*x^2+29*x-12 = -63
-1
2
x = 2
3*x^3-19*x^2+29*x-12 = -6
2
-2
x = -2
3*x^3-19*x^2+29*x-12 = -170
-2
3
x = 3
3*x^3-19*x^2+29*x-12 = -15
3
-3
x = -3
3*x^3-19*x^2+29*x-12 = -351
-3
4
x = 4
3*x^3-19*x^2+29*x-12 = -8
4
-4
x = -4
3*x^3-19*x^2+29*x-12 = -624
-4
6
x = 6
3*x^3-19*x^2+29*x-12 = 126
6
-6
x = -6
3*x^3-19*x^2+29*x-12 = -1518
-6
12
x = 12
3*x^3-19*x^2+29*x-12 = 2784
12
-12
x = -12
3*x^3-19*x^2+29*x-12 = -8280
-12
{ 1/3, -1/3, -1/3, 1/3, 2/3, -2/3, -2/3, 2/3, 3/3, -3/3, -3/3, 3/3, 4/3, -4/3, -4/3, 4/3, 6/3, -6/3, -6/3, 6/3, 12/3, -12/3, -12/3, 12/3 }
1/3
x
1/3
3*x^3-19*x^2+29*x-12 = -4.33333333
1/3
-1/3
x
-1/3
3*x^3-19*x^2+29*x-12 = -23.88888889
-1/3
-1/3
x
-1/3
3*x^3-19*x^2+29*x-12 = -23.88888889
-1/3
1/3
x
1/3
3*x^3-19*x^2+29*x-12 = -4.33333333
1/3
2/3
x
2/3
3*x^3-19*x^2+29*x-12 = -0.22222222
2/3
-2/3
x
-2/3
3*x^3-19*x^2+29*x-12 = -40.66666666
-2/3
-2/3
x
-2/3
3*x^3-19*x^2+29*x-12 = -40.66666666
-2/3
2/3
x
2/3
3*x^3-19*x^2+29*x-12 = -0.22222222
2/3
3/3
x
3/3
3*x^3-19*x^2+29*x-12 = 1
3/3
-3/3
x
-3/3
3*x^3-19*x^2+29*x-12 = -63
-3/3
-3/3
x
-3/3
3*x^3-19*x^2+29*x-12 = -63
-3/3
3/3
x
3/3
3*x^3-19*x^2+29*x-12 = 1
3/3
4/3
x
4/3
3*x^3-19*x^2+29*x-12 = 0
4/3
x-4/3
3*x^2-15*x+9
3*x^3-19*x^2+29*x-12
x-4/3
4*x^2-3*x^3
29*x-15*x^2-12
15*x^2-20*x
9*x-12
12-9*x
0
3*x^2-15*x+9 = 0
DELTA = (-15)^2-(3*4*9)
DELTA = 117
DELTA > 0
x = (117^(1/2)+15)/(2*3) or x = (15-117^(1/2))/(2*3)
x = (3*13^(1/2)+15)/6 or x = (15-3*13^(1/2))/6
x in { (15-3*13^(1/2))/6, (3*13^(1/2)+15)/6, 4/3}
(x-((15-3*13^(1/2))/6))*(x-((3*13^(1/2)+15)/6))*(x-4/3) = 0
((x-((15-3*13^(1/2))/6))*(x-((3*13^(1/2)+15)/6))*(x-4/3))/(3*x-4) = 0
( x-((15-3*13^(1/2))/6) )
x-((15-3*13^(1/2))/6) = 0 // + (15-3*13^(1/2))/6
x = (15-3*13^(1/2))/6
( x-((3*13^(1/2)+15)/6) )
x-((3*13^(1/2)+15)/6) = 0 // + (3*13^(1/2)+15)/6
x = (3*13^(1/2)+15)/6
( x-4/3 )
x-4/3 = 0 // + 4/3
x = 4/3
x in { 4/3}
x in { (15-3*13^(1/2))/6, (3*13^(1/2)+15)/6 }
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