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D( X )
X-2 = 0
X+2 = 0
X^2-4 = 0
X-2 = 0
X-2 = 0
X-2 = 0 // + 2
X = 2
X+2 = 0
X+2 = 0
X+2 = 0 // - 2
X = -2
X^2-4 = 0
X^2-4 = 0
1*X^2 = 4 // : 1
X^2 = 4
X^2 = 4 // ^ 1/2
abs(X) = 2
X = 2 or X = -2
X in (-oo:-2) U (-2:2) U (2:+oo)
1/(X-2)+1/(X+2) = 12/(X^2-4) // - 12/(X^2-4)
1/(X-2)+1/(X+2)-(12/(X^2-4)) = 0
1/(X-2)+1/(X+2)-12*(X^2-4)^-1 = 0
1/(X-2)+1/(X+2)-12/(X^2-4) = 0
(1*(X+2)*(X^2-4))/((X-2)*(X+2)*(X^2-4))+(1*(X-2)*(X^2-4))/((X-2)*(X+2)*(X^2-4))+(-12*(X-2)*(X+2))/((X-2)*(X+2)*(X^2-4)) = 0
1*(X+2)*(X^2-4)+1*(X-2)*(X^2-4)-12*(X-2)*(X+2) = 0
2*X^3-12*X^2-8*X+48 = 0
2*X^3-12*X^2-8*X+48 = 0
2*(X^3-6*X^2-4*X+24) = 0
X^3-6*X^2-4*X+24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
X = 1
X^3-6*X^2-4*X+24 = 15
1
-1
X = -1
X^3-6*X^2-4*X+24 = 21
-1
2
X = 2
X^3-6*X^2-4*X+24 = 0
2
X-2
X^2-4*X-12
X^3-6*X^2-4*X+24
X-2
2*X^2-X^3
24-4*X^2-4*X
4*X^2-8*X
24-12*X
12*X-24
0
X^2-4*X-12 = 0
DELTA = (-4)^2-(-12*1*4)
DELTA = 64
DELTA > 0
X = (64^(1/2)+4)/(1*2) or X = (4-64^(1/2))/(1*2)
X = 6 or X = -2
X in { -2, 6, 2}
2*(X+2)*(X-6)*(X-2) = 0
(2*(X+2)*(X-6)*(X-2))/((X-2)*(X+2)*(X^2-4)) = 0
(2*(X+2)*(X-6)*(X-2))/((X-2)*(X+2)*(X^2-4)) = 0 // * (X-2)*(X+2)*(X^2-4)
2*(X+2)*(X-6)*(X-2) = 0
( X+2 )
X+2 = 0 // - 2
X = -2
( X-2 )
X-2 = 0 // + 2
X = 2
( X-6 )
X-6 = 0 // + 6
X = 6
X in { -2}
X in { 2}
X = 6
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