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D( w )
2*w-1 = 0
3*w-2 = 0
6*w^2-(7*w)+2 = 0
2*w-1 = 0
2*w-1 = 0
2*w-1 = 0 // + 1
2*w = 1 // : 2
w = 1/2
3*w-2 = 0
3*w-2 = 0
3*w-2 = 0 // + 2
3*w = 2 // : 3
w = 2/3
6*w^2-(7*w)+2 = 0
6*w^2-(7*w)+2 = 0
6*w^2-7*w+2 = 0
6*w^2-7*w+2 = 0
DELTA = (-7)^2-(2*4*6)
DELTA = 1
DELTA > 0
w = (1^(1/2)+7)/(2*6) or w = (7-1^(1/2))/(2*6)
w = 2/3 or w = 1/2
w in (-oo:1/2) U (1/2:2/3) U (2/3:+oo)
1/(3*w-2)-(2/(2*w-1)) = 1/(6*w^2-(7*w)+2) // - 1/(6*w^2-(7*w)+2)
1/(3*w-2)-(2/(2*w-1))-(1/(6*w^2-(7*w)+2)) = 0
1/(3*w-2)-2*(2*w-1)^-1-(6*w^2-7*w+2)^-1 = 0
1/(3*w-2)-2/(2*w-1)-1/(6*w^2-7*w+2) = 0
6*w^2-7*w+2 = 0
6*w^2-7*w+2 = 0
6*w^2-7*w+2 = 0
DELTA = (-7)^2-(2*4*6)
DELTA = 1
DELTA > 0
w = (1^(1/2)+7)/(2*6) or w = (7-1^(1/2))/(2*6)
w = 2/3 or w = 1/2
(w-1/2)*(w-2/3) = 0
1/(3*w-2)-2/(2*w-1)-1/((w-1/2)*(w-2/3)) = 0
(1*(2*w-1)*(w-1/2)*(w-2/3))/((3*w-2)*(2*w-1)*(w-1/2)*(w-2/3))+(-2*(3*w-2)*(w-1/2)*(w-2/3))/((3*w-2)*(2*w-1)*(w-1/2)*(w-2/3))+(-1*(3*w-2)*(2*w-1))/((3*w-2)*(2*w-1)*(w-1/2)*(w-2/3)) = 0
1*(2*w-1)*(w-1/2)*(w-2/3)-2*(3*w-2)*(w-1/2)*(w-2/3)-1*(3*w-2)*(2*w-1) = 0
23/3*w^2-4*w^3-6*w^2-29/6*w+7*w-2+1 = 0
5/3*w^2-4*w^3+13/6*w-1 = 0
5/3*w^2-4*w^3+13/6*w-1 = 0
(5/3)*w^2-4*w^3+(13/6)*w-1 = 0
(5/3)*w^2-4*w^3+(13/6)*w-1 = 0 // * 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
w = 1
10*w^2-24*w^3+13*w-6 = -7
1
-1
w = -1
10*w^2-24*w^3+13*w-6 = 15
-1
2
w = 2
10*w^2-24*w^3+13*w-6 = -132
2
-2
w = -2
10*w^2-24*w^3+13*w-6 = 200
-2
3
w = 3
10*w^2-24*w^3+13*w-6 = -525
3
-3
w = -3
10*w^2-24*w^3+13*w-6 = 693
-3
6
w = 6
10*w^2-24*w^3+13*w-6 = -4752
6
-6
w = -6
10*w^2-24*w^3+13*w-6 = 5460
-6
{ 1/2, -1/2, 1/3, -1/3, 1/4, -1/4, 1/6, -1/6, 1/8, -1/8, 1/12, -1/12, 1/24, -1/24, -1/2, 1/2, -1/3, 1/3, -1/4, 1/4, -1/6, 1/6, -1/8, 1/8, -1/12, 1/12, -1/24, 1/24, 2/2, -2/2, 2/3, -2/3, 2/4, -2/4, 2/6, -2/6, 2/8, -2/8, 2/12, -2/12, 2/24, -2/24, -2/2, 2/2, -2/3, 2/3, -2/4, 2/4, -2/6, 2/6, -2/8, 2/8, -2/12, 2/12, -2/24, 2/24, 3/2, -3/2, 3/3, -3/3, 3/4, -3/4, 3/6, -3/6, 3/8, -3/8, 3/12, -3/12, 3/24, -3/24, -3/2, 3/2, -3/3, 3/3, -3/4, 3/4, -3/6, 3/6, -3/8, 3/8, -3/12, 3/12, -3/24, 3/24, 6/2, -6/2, 6/3, -6/3, 6/4, -6/4, 6/6, -6/6, 6/8, -6/8, 6/12, -6/12, 6/24, -6/24, -6/2, 6/2, -6/3, 6/3, -6/4, 6/4, -6/6, 6/6, -6/8, 6/8, -6/12, 6/12, -6/24, 6/24 }
1/2
w
1/2
10*w^2-24*w^3+13*w-6 = 0
1/2
w-1/2
12-24*w^2-2*w
10*w^2-24*w^3+13*w-6
w-1/2
24*w^3-12*w^2
13*w-2*w^2-6
2*w^2-w
12*w-6
6-12*w
0
12-24*w^2-2*w = 0
DELTA = (-2)^2-(-24*4*12)
DELTA = 1156
DELTA > 0
w = (1156^(1/2)+2)/(-24*2) or w = (2-1156^(1/2))/(-24*2)
w = -3/4 or w = 2/3
w in { -3/4, 2/3, 1/2}
(w+3/4)*(w-2/3)*(w-1/2) = 0
((w+3/4)*(w-2/3)*(w-1/2))/((3*w-2)*(2*w-1)*(w-1/2)*(w-2/3)) = 0
((w+3/4)*(w-2/3)*(w-1/2))/((3*w-2)*(2*w-1)*(w-1/2)*(w-2/3)) = 0 // * (3*w-2)*(2*w-1)*(w-1/2)*(w-2/3)
(w+3/4)*(w-2/3)*(w-1/2) = 0
( w+3/4 )
w+3/4 = 0 // - 3/4
w = -3/4
( w-1/2 )
w-1/2 = 0 // + 1/2
w = 1/2
( w-2/3 )
w-2/3 = 0 // + 2/3
w = 2/3
w in { 1/2}
w in { 2/3}
w = -3/4
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