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D( x )
x^2-16 = 0
x^2-16 = 0
x^2-16 = 0
1*x^2 = 16 // : 1
x^2 = 16
x^2 = 16 // ^ 1/2
abs(x) = 4
x = 4 or x = -4
x in (-oo:-4) U (-4:4) U (4:+oo)
(x^4+3*x^3-(14*x^2)-(48*x)-32)/(x^2-16) = 0
(x^4+3*x^3-14*x^2-48*x-32)/(x^2-16) = 0
x^4+3*x^3-14*x^2-48*x-32 = 0
x^4+3*x^3-14*x^2-48*x-32 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
x = 1
x^4+3*x^3-14*x^2-48*x-32 = -90
1
-1
x = -1
x^4+3*x^3-14*x^2-48*x-32 = 0
-1
x+1
x^3+2*x^2-16*x-32
x^4+3*x^3-14*x^2-48*x-32
x+1
-x^4-x^3
2*x^3-14*x^2-48*x-32
-2*x^3-2*x^2
-16*x^2-48*x-32
16*x^2+16*x
-32*x-32
32*x+32
0
x^3+2*x^2-16*x-32 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
x = 1
x^3+2*x^2-16*x-32 = -45
1
-1
x = -1
x^3+2*x^2-16*x-32 = -15
-1
2
x = 2
x^3+2*x^2-16*x-32 = -48
2
-2
x = -2
x^3+2*x^2-16*x-32 = 0
-2
x+2
x^2-16
x^3+2*x^2-16*x-32
x+2
-x^3-2*x^2
-16*x-32
16*x+32
0
x^2-16 = 0
DELTA = 0^2-(-16*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+0)/(1*2) or x = (0-64^(1/2))/(1*2)
x = 4 or x = -4
x in { -4, 4, -1, -2}
(x+4)*(x-4)*(x+1)*(x+2) = 0
((x+4)*(x-4)*(x+1)*(x+2))/(x^2-16) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+2 )
x+2 = 0 // - 2
x = -2
( x+4 )
x+4 = 0 // - 4
x = -4
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -4}
x in { 4}
x in { -1, -2 }
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