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x in (-oo:+oo)
x^3-x^2-(75/8) = 0
x^3-x^2-75/8 = 0
x^3-x^2-75/8 = 0
x^3-x^2-75/8 = 0 // * 0
{ 1, -1, 3, -3, 5, -5, 15, -15, 25, -25, 75, -75 }
1
x = 1
8*x^3-8*x^2-75 = -75
1
-1
x = -1
8*x^3-8*x^2-75 = -91
-1
3
x = 3
8*x^3-8*x^2-75 = 69
3
-3
x = -3
8*x^3-8*x^2-75 = -363
-3
5
x = 5
8*x^3-8*x^2-75 = 725
5
-5
x = -5
8*x^3-8*x^2-75 = -1275
-5
15
x = 15
8*x^3-8*x^2-75 = 25125
15
-15
x = -15
8*x^3-8*x^2-75 = -28875
-15
25
x = 25
8*x^3-8*x^2-75 = 119925
25
-25
x = -25
8*x^3-8*x^2-75 = -130075
-25
75
x = 75
8*x^3-8*x^2-75 = 3329925
75
-75
x = -75
8*x^3-8*x^2-75 = -3420075
-75
{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8, 3/2, -3/2, 3/4, -3/4, 3/8, -3/8, -3/2, 3/2, -3/4, 3/4, -3/8, 3/8, 5/2, -5/2, 5/4, -5/4, 5/8, -5/8, -5/2, 5/2, -5/4, 5/4, -5/8, 5/8, 15/2, -15/2, 15/4, -15/4, 15/8, -15/8, -15/2, 15/2, -15/4, 15/4, -15/8, 15/8, 25/2, -25/2, 25/4, -25/4, 25/8, -25/8, -25/2, 25/2, -25/4, 25/4, -25/8, 25/8, 75/2, -75/2, 75/4, -75/4, 75/8, -75/8, -75/2, 75/2, -75/4, 75/4, -75/8, 75/8 }
1/2
x
1/2
8*x^3-8*x^2-75 = -76
1/2
-1/2
x
-1/2
8*x^3-8*x^2-75 = -78
-1/2
1/4
x
1/4
8*x^3-8*x^2-75 = -75.375
1/4
-1/4
x
-1/4
8*x^3-8*x^2-75 = -75.625
-1/4
1/8
x
1/8
8*x^3-8*x^2-75 = -75.109375
1/8
-1/8
x
-1/8
8*x^3-8*x^2-75 = -75.140625
-1/8
-1/2
x
-1/2
8*x^3-8*x^2-75 = -78
-1/2
1/2
x
1/2
8*x^3-8*x^2-75 = -76
1/2
-1/4
x
-1/4
8*x^3-8*x^2-75 = -75.625
-1/4
1/4
x
1/4
8*x^3-8*x^2-75 = -75.375
1/4
-1/8
x
-1/8
8*x^3-8*x^2-75 = -75.140625
-1/8
1/8
x
1/8
8*x^3-8*x^2-75 = -75.109375
1/8
3/2
x
3/2
8*x^3-8*x^2-75 = -66
3/2
-3/2
x
-3/2
8*x^3-8*x^2-75 = -120
-3/2
3/4
x
3/4
8*x^3-8*x^2-75 = -76.125
3/4
-3/4
x
-3/4
8*x^3-8*x^2-75 = -82.875
-3/4
3/8
x
3/8
8*x^3-8*x^2-75 = -75.703125
3/8
-3/8
x
-3/8
8*x^3-8*x^2-75 = -76.546875
-3/8
-3/2
x
-3/2
8*x^3-8*x^2-75 = -120
-3/2
3/2
x
3/2
8*x^3-8*x^2-75 = -66
3/2
-3/4
x
-3/4
8*x^3-8*x^2-75 = -82.875
-3/4
3/4
x
3/4
8*x^3-8*x^2-75 = -76.125
3/4
-3/8
x
-3/8
8*x^3-8*x^2-75 = -76.546875
-3/8
3/8
x
3/8
8*x^3-8*x^2-75 = -75.703125
3/8
5/2
x
5/2
8*x^3-8*x^2-75 = 0
5/2
x-5/2
8*x^2+12*x+30
8*x^3-8*x^2-75
x-5/2
20*x^2-8*x^3
12*x^2-75
30*x-12*x^2
30*x-75
75-30*x
0
8*x^2+12*x+30 = 0
DELTA = 12^2-(4*8*30)
DELTA = -816
DELTA < 0
x in { 5/2}
x = 5/2
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