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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)
x/(x-2)-(8/(x^2-4)) = 0
x/(x-2)-8*(x^2-4)^-1 = 0
x/(x-2)-8/(x^2-4) = 0
(x*(x^2-4))/((x-2)*(x^2-4))+(-8*(x-2))/((x-2)*(x^2-4)) = 0
x*(x^2-4)-8*(x-2) = 0
x^3-12*x+16 = 0
x^3-12*x+16 = 0
x^3-12*x+16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
x^3-12*x+16 = 5
1
-1
x = -1
x^3-12*x+16 = 27
-1
2
x = 2
x^3-12*x+16 = 0
2
x-2
x^2+2*x-8
x^3-12*x+16
x-2
2*x^2-x^3
2*x^2-12*x+16
4*x-2*x^2
16-8*x
8*x-16
0
x^2+2*x-8 = 0
DELTA = 2^2-(-8*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)
x = 2 or x = -4
x in { -4, 2, 2}
(x+4)*(x-2)^2 = 0
((x+4)*(x-2)^2)/((x-2)*(x^2-4)) = 0
((x+4)*(x-2)^2)/((x-2)*(x^2-4)) = 0 // * (x-2)*(x^2-4)
(x+4)*(x-2)^2 = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x = -4
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