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D( x )
x-2 = 0
x^2-4 = 0
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)
6/(x-2)+1 = 24/(x^2-4) // - 24/(x^2-4)
6/(x-2)-(24/(x^2-4))+1 = 0
6/(x-2)-24*(x^2-4)^-1+1 = 0
6/(x-2)-24/(x^2-4)+1 = 0
(6*(x^2-4))/((x-2)*(x^2-4))+(-24*(x-2))/((x-2)*(x^2-4))+(1*(x-2)*(x^2-4))/((x-2)*(x^2-4)) = 0
6*(x^2-4)-24*(x-2)+1*(x-2)*(x^2-4) = 0
x^3+6*x^2-2*x^2-24*x-4*x+8+24 = 0
x^3+4*x^2-28*x+32 = 0
x^3+4*x^2-28*x+32 = 0
x^3+4*x^2-28*x+32 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
x = 1
x^3+4*x^2-28*x+32 = 9
1
-1
x = -1
x^3+4*x^2-28*x+32 = 63
-1
2
x = 2
x^3+4*x^2-28*x+32 = 0
2
x-2
x^2+6*x-16
x^3+4*x^2-28*x+32
x-2
2*x^2-x^3
6*x^2-28*x+32
12*x-6*x^2
32-16*x
16*x-32
0
x^2+6*x-16 = 0
DELTA = 6^2-(-16*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)-6)/(1*2) or x = (-100^(1/2)-6)/(1*2)
x = 2 or x = -8
x in { -8, 2, 2}
(x+8)*(x-2)^2 = 0
((x+8)*(x-2)^2)/((x-2)*(x^2-4)) = 0
((x+8)*(x-2)^2)/((x-2)*(x^2-4)) = 0 // * (x-2)*(x^2-4)
(x+8)*(x-2)^2 = 0
( x+8 )
x+8 = 0 // - 8
x = -8
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x = -8
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