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D( x )
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0 // + 3
2*x = 3 // : 2
x = 3/2
x in (-oo:3/2) U (3/2:+oo)
(6*x^3-(7*x^2)+5*x-12)/(2*x-3) = 0
(6*x^3-7*x^2+5*x-12)/(2*x-3) = 0
6*x^3-7*x^2+5*x-12 = 0
6*x^3-7*x^2+5*x-12 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }
1
x = 1
6*x^3-7*x^2+5*x-12 = -8
1
-1
x = -1
6*x^3-7*x^2+5*x-12 = -30
-1
2
x = 2
6*x^3-7*x^2+5*x-12 = 18
2
-2
x = -2
6*x^3-7*x^2+5*x-12 = -98
-2
3
x = 3
6*x^3-7*x^2+5*x-12 = 102
3
-3
x = -3
6*x^3-7*x^2+5*x-12 = -252
-3
4
x = 4
6*x^3-7*x^2+5*x-12 = 280
4
-4
x = -4
6*x^3-7*x^2+5*x-12 = -528
-4
6
x = 6
6*x^3-7*x^2+5*x-12 = 1062
6
-6
x = -6
6*x^3-7*x^2+5*x-12 = -1590
-6
12
x = 12
6*x^3-7*x^2+5*x-12 = 9408
12
-12
x = -12
6*x^3-7*x^2+5*x-12 = -11448
-12
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6, 2/2, -2/2, 2/3, -2/3, 2/6, -2/6, -2/2, 2/2, -2/3, 2/3, -2/6, 2/6, 3/2, -3/2, 3/3, -3/3, 3/6, -3/6, -3/2, 3/2, -3/3, 3/3, -3/6, 3/6, 4/2, -4/2, 4/3, -4/3, 4/6, -4/6, -4/2, 4/2, -4/3, 4/3, -4/6, 4/6, 6/2, -6/2, 6/3, -6/3, 6/6, -6/6, -6/2, 6/2, -6/3, 6/3, -6/6, 6/6, 12/2, -12/2, 12/3, -12/3, 12/6, -12/6, -12/2, 12/2, -12/3, 12/3, -12/6, 12/6 }
1/2
x
1/2
6*x^3-7*x^2+5*x-12 = -10.5
1/2
-1/2
x
-1/2
6*x^3-7*x^2+5*x-12 = -17
-1/2
1/3
x
1/3
6*x^3-7*x^2+5*x-12 = -10.88888889
1/3
-1/3
x
-1/3
6*x^3-7*x^2+5*x-12 = -14.66666667
-1/3
1/6
x
1/6
6*x^3-7*x^2+5*x-12 = -11.33333333
1/6
-1/6
x
-1/6
6*x^3-7*x^2+5*x-12 = -13.05555555
-1/6
-1/2
x
-1/2
6*x^3-7*x^2+5*x-12 = -17
-1/2
1/2
x
1/2
6*x^3-7*x^2+5*x-12 = -10.5
1/2
-1/3
x
-1/3
6*x^3-7*x^2+5*x-12 = -14.66666667
-1/3
1/3
x
1/3
6*x^3-7*x^2+5*x-12 = -10.88888889
1/3
-1/6
x
-1/6
6*x^3-7*x^2+5*x-12 = -13.05555555
-1/6
1/6
x
1/6
6*x^3-7*x^2+5*x-12 = -11.33333333
1/6
2/2
x
2/2
6*x^3-7*x^2+5*x-12 = -8
2/2
-2/2
x
-2/2
6*x^3-7*x^2+5*x-12 = -30
-2/2
2/3
x
2/3
6*x^3-7*x^2+5*x-12 = -10
2/3
-2/3
x
-2/3
6*x^3-7*x^2+5*x-12 = -20.22222222
-2/3
2/6
x
2/6
6*x^3-7*x^2+5*x-12 = -10.88888889
2/6
-2/6
x
-2/6
6*x^3-7*x^2+5*x-12 = -14.66666667
-2/6
-2/2
x
-2/2
6*x^3-7*x^2+5*x-12 = -30
-2/2
2/2
x
2/2
6*x^3-7*x^2+5*x-12 = -8
2/2
-2/3
x
-2/3
6*x^3-7*x^2+5*x-12 = -20.22222222
-2/3
2/3
x
2/3
6*x^3-7*x^2+5*x-12 = -10
2/3
-2/6
x
-2/6
6*x^3-7*x^2+5*x-12 = -14.66666667
-2/6
2/6
x
2/6
6*x^3-7*x^2+5*x-12 = -10.88888889
2/6
3/2
x
3/2
6*x^3-7*x^2+5*x-12 = 0
3/2
x-3/2
6*x^2+2*x+8
6*x^3-7*x^2+5*x-12
x-3/2
9*x^2-6*x^3
2*x^2+5*x-12
3*x-2*x^2
8*x-12
12-8*x
0
6*x^2+2*x+8 = 0
DELTA = 2^2-(4*6*8)
DELTA = -188
DELTA < 0
x in { 3/2}
x-3/2 = 0
(x-3/2)/(2*x-3) = 0
x-3/2 = 0 // + 3/2
x = 3/2
x in { 3/2}
x belongs to the empty set
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