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x in (-oo:+oo)
(1/2)*(x-2)^3-4 = 0
1/2*(x-2)^3-4 = 0
1/2*(x-2)^3-4 = 0
1/2*x^3-3*x^2+6*x-8 = 0
1/2*x^3-3*x^2+6*x-8 = 0
(1/2)*x^3-3*x^2+6*x-8 = 0
(1/2)*x^3-3*x^2+6*x-8 = 0 // * 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
x^3-6*x^2+12*x-16 = -9
1
-1
x = -1
x^3-6*x^2+12*x-16 = -35
-1
2
x = 2
x^3-6*x^2+12*x-16 = -8
2
-2
x = -2
x^3-6*x^2+12*x-16 = -72
-2
4
x = 4
x^3-6*x^2+12*x-16 = 0
4
x-4
x^2-2*x+4
x^3-6*x^2+12*x-16
x-4
4*x^2-x^3
12*x-2*x^2-16
2*x^2-8*x
4*x-16
16-4*x
0
x^2-2*x+4 = 0
DELTA = (-2)^2-(1*4*4)
DELTA = -12
DELTA < 0
x in { 4}
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x = 4
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