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D( x )
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
(4*x^3+8*x^2-(29*x)-40)/(2*x-5) = 0
(4*x^3+8*x^2-29*x-40)/(2*x-5) = 0
4*x^3+8*x^2-29*x-40 = 0
4*x^3+8*x^2-29*x-40 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 20, -20, 40, -40 }
1
x = 1
4*x^3+8*x^2-29*x-40 = -57
1
-1
x = -1
4*x^3+8*x^2-29*x-40 = -7
-1
2
x = 2
4*x^3+8*x^2-29*x-40 = -34
2
-2
x = -2
4*x^3+8*x^2-29*x-40 = 18
-2
4
x = 4
4*x^3+8*x^2-29*x-40 = 228
4
-4
x = -4
4*x^3+8*x^2-29*x-40 = -52
-4
5
x = 5
4*x^3+8*x^2-29*x-40 = 515
5
-5
x = -5
4*x^3+8*x^2-29*x-40 = -195
-5
8
x = 8
4*x^3+8*x^2-29*x-40 = 2288
8
-8
x = -8
4*x^3+8*x^2-29*x-40 = -1344
-8
10
x = 10
4*x^3+8*x^2-29*x-40 = 4470
10
-10
x = -10
4*x^3+8*x^2-29*x-40 = -2950
-10
20
x = 20
4*x^3+8*x^2-29*x-40 = 34580
20
-20
x = -20
4*x^3+8*x^2-29*x-40 = -28260
-20
40
x = 40
4*x^3+8*x^2-29*x-40 = 267600
40
-40
x = -40
4*x^3+8*x^2-29*x-40 = -242080
-40
{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 2/2, -2/2, 2/4, -2/4, -2/2, 2/2, -2/4, 2/4, 4/2, -4/2, 4/4, -4/4, -4/2, 4/2, -4/4, 4/4, 5/2, -5/2, 5/4, -5/4, -5/2, 5/2, -5/4, 5/4, 8/2, -8/2, 8/4, -8/4, -8/2, 8/2, -8/4, 8/4, 10/2, -10/2, 10/4, -10/4, -10/2, 10/2, -10/4, 10/4, 20/2, -20/2, 20/4, -20/4, -20/2, 20/2, -20/4, 20/4, 40/2, -40/2, 40/4, -40/4, -40/2, 40/2, -40/4, 40/4 }
1/2
x
1/2
4*x^3+8*x^2-29*x-40 = -52
1/2
-1/2
x
-1/2
4*x^3+8*x^2-29*x-40 = -24
-1/2
1/4
x
1/4
4*x^3+8*x^2-29*x-40 = -46.6875
1/4
-1/4
x
-1/4
4*x^3+8*x^2-29*x-40 = -32.3125
-1/4
-1/2
x
-1/2
4*x^3+8*x^2-29*x-40 = -24
-1/2
1/2
x
1/2
4*x^3+8*x^2-29*x-40 = -52
1/2
-1/4
x
-1/4
4*x^3+8*x^2-29*x-40 = -32.3125
-1/4
1/4
x
1/4
4*x^3+8*x^2-29*x-40 = -46.6875
1/4
2/2
x
2/2
4*x^3+8*x^2-29*x-40 = -57
2/2
-2/2
x
-2/2
4*x^3+8*x^2-29*x-40 = -7
-2/2
2/4
x
2/4
4*x^3+8*x^2-29*x-40 = -52
2/4
-2/4
x
-2/4
4*x^3+8*x^2-29*x-40 = -24
-2/4
-2/2
x
-2/2
4*x^3+8*x^2-29*x-40 = -7
-2/2
2/2
x
2/2
4*x^3+8*x^2-29*x-40 = -57
2/2
-2/4
x
-2/4
4*x^3+8*x^2-29*x-40 = -24
-2/4
2/4
x
2/4
4*x^3+8*x^2-29*x-40 = -52
2/4
4/2
x
4/2
4*x^3+8*x^2-29*x-40 = -34
4/2
-4/2
x
-4/2
4*x^3+8*x^2-29*x-40 = 18
-4/2
4/4
x
4/4
4*x^3+8*x^2-29*x-40 = -57
4/4
-4/4
x
-4/4
4*x^3+8*x^2-29*x-40 = -7
-4/4
-4/2
x
-4/2
4*x^3+8*x^2-29*x-40 = 18
-4/2
4/2
x
4/2
4*x^3+8*x^2-29*x-40 = -34
4/2
-4/4
x
-4/4
4*x^3+8*x^2-29*x-40 = -7
-4/4
4/4
x
4/4
4*x^3+8*x^2-29*x-40 = -57
4/4
5/2
x
5/2
4*x^3+8*x^2-29*x-40 = 0
5/2
x-5/2
4*x^2+18*x+16
4*x^3+8*x^2-29*x-40
x-5/2
10*x^2-4*x^3
18*x^2-29*x-40
45*x-18*x^2
16*x-40
40-16*x
0
4*x^2+18*x+16 = 0
DELTA = 18^2-(4*4*16)
DELTA = 68
DELTA > 0
x = (68^(1/2)-18)/(2*4) or x = (-68^(1/2)-18)/(2*4)
x = (2*17^(1/2)-18)/8 or x = (-2*17^(1/2)-18)/8
x in { (-2*17^(1/2)-18)/8, (2*17^(1/2)-18)/8, 5/2}
(x-((-2*17^(1/2)-18)/8))*(x-((2*17^(1/2)-18)/8))*(x-5/2) = 0
((x-((-2*17^(1/2)-18)/8))*(x-((2*17^(1/2)-18)/8))*(x-5/2))/(2*x-5) = 0
( x-((-2*17^(1/2)-18)/8) )
x-((-2*17^(1/2)-18)/8) = 0 // + (-2*17^(1/2)-18)/8
x = (-2*17^(1/2)-18)/8
( x-((2*17^(1/2)-18)/8) )
x-((2*17^(1/2)-18)/8) = 0 // + (2*17^(1/2)-18)/8
x = (2*17^(1/2)-18)/8
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
x in { 5/2}
x in { (-2*17^(1/2)-18)/8, (2*17^(1/2)-18)/8 }
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