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D( x )
x+2 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x in (-oo:-2) U (-2:+oo)
(x^4-(6*x^2)-27)/(x+2) = 0
(x^4-6*x^2-27)/(x+2) = 0
x^4-6*x^2-27 = 0
x^4-6*x^2-27 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27 }
1
x = 1
x^4-6*x^2-27 = -32
1
-1
x = -1
x^4-6*x^2-27 = -32
-1
3
x = 3
x^4-6*x^2-27 = 0
3
x-3
x^3+3*x^2+3*x+9
x^4-6*x^2-27
x-3
3*x^3-x^4
3*x^3-6*x^2-27
9*x^2-3*x^3
3*x^2-27
9*x-3*x^2
9*x-27
27-9*x
0
x^3+3*x^2+3*x+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
x^3+3*x^2+3*x+9 = 16
1
-1
x = -1
x^3+3*x^2+3*x+9 = 8
-1
3
x = 3
x^3+3*x^2+3*x+9 = 72
3
-3
x = -3
x^3+3*x^2+3*x+9 = 0
-3
x+3
x^2+3
x^3+3*x^2+3*x+9
x+3
-x^3-3*x^2
3*x+9
-3*x-9
0
x^2+3 = 0
DELTA = 0^2-(1*3*4)
DELTA = -12
DELTA < 0
x in { 3, -3}
(x-3)*(x+3) = 0
((x-3)*(x+3))/(x+2) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -3, 3 }
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