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D( x )
12*x+2 = 0
12*x+2 = 0
12*x+2 = 0
12*x+2 = 0 // - 2
12*x = -2 // : 12
x = -2/12
x = -1/6
x in (-oo:-1/6) U (-1/6:+oo)
(72*x^3-(110*x)-18)/(12*x+2) = 0
(72*x^3-110*x-18)/(12*x+2) = 0
72*x^3-110*x-18 = 0
2*(36*x^3-55*x-9) = 0
36*x^3-55*x-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
36*x^3-55*x-9 = -28
1
-1
x = -1
36*x^3-55*x-9 = 10
-1
3
x = 3
36*x^3-55*x-9 = 798
3
-3
x = -3
36*x^3-55*x-9 = -816
-3
9
x = 9
36*x^3-55*x-9 = 25740
9
-9
x = -9
36*x^3-55*x-9 = -25758
-9
{ 1/2, -1/2, 1/3, -1/3, 1/4, -1/4, 1/6, -1/6, 1/9, -1/9, 1/12, -1/12, 1/18, -1/18, 1/36, -1/36, -1/2, 1/2, -1/3, 1/3, -1/4, 1/4, -1/6, 1/6, -1/9, 1/9, -1/12, 1/12, -1/18, 1/18, -1/36, 1/36, 3/2, -3/2, 3/3, -3/3, 3/4, -3/4, 3/6, -3/6, 3/9, -3/9, 3/12, -3/12, 3/18, -3/18, 3/36, -3/36, -3/2, 3/2, -3/3, 3/3, -3/4, 3/4, -3/6, 3/6, -3/9, 3/9, -3/12, 3/12, -3/18, 3/18, -3/36, 3/36, 9/2, -9/2, 9/3, -9/3, 9/4, -9/4, 9/6, -9/6, 9/9, -9/9, 9/12, -9/12, 9/18, -9/18, 9/36, -9/36, -9/2, 9/2, -9/3, 9/3, -9/4, 9/4, -9/6, 9/6, -9/9, 9/9, -9/12, 9/12, -9/18, 9/18, -9/36, 9/36 }
1/2
x
1/2
36*x^3-55*x-9 = -32
1/2
-1/2
x
-1/2
36*x^3-55*x-9 = 14
-1/2
1/3
x
1/3
36*x^3-55*x-9 = -26
1/3
-1/3
x
-1/3
36*x^3-55*x-9 = 8
-1/3
1/4
x
1/4
36*x^3-55*x-9 = -22.1875
1/4
-1/4
x
-1/4
36*x^3-55*x-9 = 4.1875
-1/4
1/6
x
1/6
36*x^3-55*x-9 = -18
1/6
-1/6
x
-1/6
36*x^3-55*x-9 = 0
-1/6
x+1/6
36*x^2-6*x-54
36*x^3-55*x-9
x+1/6
-36*x^3-6*x^2
-6*x^2-55*x-9
6*x^2+x
-54*x-9
54*x+9
0
36*x^2-6*x-54 = 0
DELTA = (-6)^2-(-54*4*36)
DELTA = 7812
DELTA > 0
x = (7812^(1/2)+6)/(2*36) or x = (6-7812^(1/2))/(2*36)
x = (6*217^(1/2)+6)/72 or x = (6-6*217^(1/2))/72
x in { (6-6*217^(1/2))/72, (6*217^(1/2)+6)/72, -1/6}
2*(x-((6-6*217^(1/2))/72))*(x-((6*217^(1/2)+6)/72))*(x+1/6) = 0
(2*(x-((6-6*217^(1/2))/72))*(x-((6*217^(1/2)+6)/72))*(x+1/6))/(12*x+2) = 0
( x+1/6 )
x+1/6 = 0 // - 1/6
x = -1/6
( x-((6*217^(1/2)+6)/72) )
x-((6*217^(1/2)+6)/72) = 0 // + (6*217^(1/2)+6)/72
x = (6*217^(1/2)+6)/72
( x-((6-6*217^(1/2))/72) )
x-((6-6*217^(1/2))/72) = 0 // + (6-6*217^(1/2))/72
x = (6-6*217^(1/2))/72
x in { -1/6}
x in { (6*217^(1/2)+6)/72, (6-6*217^(1/2))/72 }
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