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D( x )
x^3-(9*x^2)+26*x-24 = 0
x^3-(9*x^2)+26*x-24 = 0
x^3-(9*x^2)+26*x-24 = 0
x^3-9*x^2+26*x-24 = 0
x^3-9*x^2+26*x-24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
x = 1
x^3-9*x^2+26*x-24 = -6
1
-1
x = -1
x^3-9*x^2+26*x-24 = -60
-1
2
x = 2
x^3-9*x^2+26*x-24 = 0
2
x-2
x^2-7*x+12
x^3-9*x^2+26*x-24
x-2
2*x^2-x^3
26*x-7*x^2-24
7*x^2-14*x
12*x-24
24-12*x
0
x^2-7*x+12 = 0
DELTA = (-7)^2-(1*4*12)
DELTA = 1
DELTA > 0
x = (1^(1/2)+7)/(1*2) or x = (7-1^(1/2))/(1*2)
x = 4 or x = 3
x in { 3, 4, 2}
x in (-oo:2) U (2:3) U (3:4) U (4:+oo)
(x^2-(6*x^2)+11*x-6)/(x^3-(9*x^2)+26*x-24) = 0
(x^2-6*x^2+11*x-6)/(x^3-9*x^2+26*x-24) = 0
(11*x-5*x^2-6)/(x^3-9*x^2+26*x-24) = 0
11*x-5*x^2-6 = 0
11*x-5*x^2-6 = 0
DELTA = 11^2-(-6*(-5)*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)-11)/(-5*2) or x = (-1^(1/2)-11)/(-5*2)
x = 1 or x = 6/5
(x-1)*(x-6/5) = 0
x^3-9*x^2+26*x-24 = 0
x^3-9*x^2+26*x-24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
x = 1
x^3-9*x^2+26*x-24 = -6
1
-1
x = -1
x^3-9*x^2+26*x-24 = -60
-1
2
x = 2
x^3-9*x^2+26*x-24 = 0
2
x-2
x^2-7*x+12
x^3-9*x^2+26*x-24
x-2
2*x^2-x^3
26*x-7*x^2-24
7*x^2-14*x
12*x-24
24-12*x
0
x^2-7*x+12 = 0
DELTA = (-7)^2-(1*4*12)
DELTA = 1
DELTA > 0
x = (1^(1/2)+7)/(1*2) or x = (7-1^(1/2))/(1*2)
x = 4 or x = 3
x in { 3, 4, 2}
(x-3)*(x-4)*(x-2) = 0
((x-1)*(x-6/5))/((x-3)*(x-4)*(x-2)) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-6/5 )
x-6/5 = 0 // + 6/5
x = 6/5
x in { 1, 6/5 }
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