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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x^2+42*x-(28/x)+8 = 0
6*x^2+42*x-28*x^-1+8 = 0
6*x^2+42*x^1-28*x^-1+8*x^0 = 0
(6*x^3+42*x^2+8*x^1-28*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^3+42*x^2+8*x^1-28*x^0) = 0
x^1
6*x^3+42*x^2+8*x-28 = 0
{ 1, -1, 2, -2, 4, -4, 7, -7, 14, -14, 28, -28 }
1
x = 1
6*x^3+42*x^2+8*x-28 = 28
1
-1
x = -1
6*x^3+42*x^2+8*x-28 = 0
-1
x+1
6*x^2+36*x-28
6*x^3+42*x^2+8*x-28
x+1
-6*x^3-6*x^2
36*x^2+8*x-28
-36*x^2-36*x
-28*x-28
28*x+28
0
6*x^2+36*x-28 = 0
DELTA = 36^2-(-28*4*6)
DELTA = 1968
DELTA > 0
x = (1968^(1/2)-36)/(2*6) or x = (-1968^(1/2)-36)/(2*6)
x = (4*123^(1/2)-36)/12 or x = (-4*123^(1/2)-36)/12
x in { (-4*123^(1/2)-36)/12, (4*123^(1/2)-36)/12, -1}
x in { (-4*123^(1/2)-36)/12, (4*123^(1/2)-36)/12, -1 }
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