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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x^2+x+4/x-2 = 28/x-2+14 // - 28/x-2+14
6*x^2+x+4/x-(28/x)-14-2+2 = 0
6*x^2+x+4/x-28*x^-1-14-2+2 = 0
6*x^2+1*x^1-24*x^-1-14*x^0 = 0
(6*x^3+1*x^2-14*x^1-24*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^3+1*x^2-14*x^1-24*x^0) = 0
x^1
6*x^3+x^2-14*x-24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
x = 1
6*x^3+x^2-14*x-24 = -31
1
-1
x = -1
6*x^3+x^2-14*x-24 = -15
-1
2
x = 2
6*x^3+x^2-14*x-24 = 0
2
x-2
6*x^2+13*x+12
6*x^3+x^2-14*x-24
x-2
12*x^2-6*x^3
13*x^2-14*x-24
26*x-13*x^2
12*x-24
24-12*x
0
6*x^2+13*x+12 = 0
DELTA = 13^2-(4*6*12)
DELTA = -119
DELTA < 0
x in { 2}
x = 2
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