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D( x )
2*x+4 = 0
2*x+4 = 0
2*x+4 = 0
2*x+4 = 0 // - 4
2*x = -4 // : 2
x = -4/2
x = -2
x in (-oo:-2) U (-2:+oo)
(8*x^3+15*x^2+6*x+16)/(2*x+4) = 0
8*x^3+15*x^2+6*x+16 = 0
8*x^3+15*x^2+6*x+16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
8*x^3+15*x^2+6*x+16 = 45
1
-1
x = -1
8*x^3+15*x^2+6*x+16 = 17
-1
2
x = 2
8*x^3+15*x^2+6*x+16 = 152
2
-2
x = -2
8*x^3+15*x^2+6*x+16 = 0
-2
x+2
8*x^2-x+8
8*x^3+15*x^2+6*x+16
x+2
-8*x^3-16*x^2
6*x-x^2+16
x^2+2*x
8*x+16
-8*x-16
0
8*x^2-x+8 = 0
DELTA = (-1)^2-(4*8*8)
DELTA = -255
DELTA < 0
x in { -2}
x+2 = 0
(x+2)/(2*x+4) = 0
x+2 = 0 // - 2
x = -2
x in { -2}
x belongs to the empty set
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