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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
8*x-(27/(x^2)) = 0
8*x-27*x^-2 = 0
8*x^1-27*x^-2 = 0
(8*x^3-27*x^0)/(x^2) = 0 // * x^4
x^2*(8*x^3-27*x^0) = 0
x^2
8*x^3-27 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27 }
1
x = 1
8*x^3-27 = -19
1
-1
x = -1
8*x^3-27 = -35
-1
3
x = 3
8*x^3-27 = 189
3
-3
x = -3
8*x^3-27 = -243
-3
9
x = 9
8*x^3-27 = 5805
9
-9
x = -9
8*x^3-27 = -5859
-9
27
x = 27
8*x^3-27 = 157437
27
-27
x = -27
8*x^3-27 = -157491
-27
{ 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, 9/2, -9/2, 9/4, -9/4, 9/8, -9/8, -9/2, 9/2, -9/4, 9/4, -9/8, 9/8, 27/2, -27/2, 27/4, -27/4, 27/8, -27/8, -27/2, 27/2, -27/4, 27/4, -27/8, 27/8 }
1/2
x
1/2
8*x^3-27 = -26
1/2
-1/2
x
-1/2
8*x^3-27 = -28
-1/2
1/4
x
1/4
8*x^3-27 = -26.875
1/4
-1/4
x
-1/4
8*x^3-27 = -27.125
-1/4
1/8
x
1/8
8*x^3-27 = -26.984375
1/8
-1/8
x
-1/8
8*x^3-27 = -27.015625
-1/8
-1/2
x
-1/2
8*x^3-27 = -28
-1/2
1/2
x
1/2
8*x^3-27 = -26
1/2
-1/4
x
-1/4
8*x^3-27 = -27.125
-1/4
1/4
x
1/4
8*x^3-27 = -26.875
1/4
-1/8
x
-1/8
8*x^3-27 = -27.015625
-1/8
1/8
x
1/8
8*x^3-27 = -26.984375
1/8
3/2
x
3/2
8*x^3-27 = 0
3/2
x-3/2
8*x^2+12*x+18
8*x^3-27
x-3/2
12*x^2-8*x^3
12*x^2-27
18*x-12*x^2
18*x-27
27-18*x
0
8*x^2+12*x+18 = 0
DELTA = 12^2-(4*8*18)
DELTA = -432
DELTA < 0
x in { 3/2}
x = 3/2
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