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D( x )
x-3 = 0
x^2-9 = 0
x+3 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x^2-9 = 0
x^2-9 = 0
1*x^2 = 9 // : 1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:3) U (3:+oo)
1/(x-3)+1/(x+3) = 18/(x^2-9) // - 18/(x^2-9)
1/(x-3)+1/(x+3)-(18/(x^2-9)) = 0
1/(x-3)+1/(x+3)-18*(x^2-9)^-1 = 0
1/(x-3)+1/(x+3)-18/(x^2-9) = 0
(1*(x+3)*(x^2-9))/((x-3)*(x+3)*(x^2-9))+(1*(x-3)*(x^2-9))/((x-3)*(x+3)*(x^2-9))+(-18*(x-3)*(x+3))/((x-3)*(x+3)*(x^2-9)) = 0
1*(x+3)*(x^2-9)+1*(x-3)*(x^2-9)-18*(x-3)*(x+3) = 0
2*x^3-18*x^2-18*x+162 = 0
2*x^3-18*x^2-18*x+162 = 0
2*(x^3-9*x^2-9*x+81) = 0
x^3-9*x^2-9*x+81 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27, 81, -81 }
1
x = 1
x^3-9*x^2-9*x+81 = 64
1
-1
x = -1
x^3-9*x^2-9*x+81 = 80
-1
3
x = 3
x^3-9*x^2-9*x+81 = 0
3
x-3
x^2-6*x-27
x^3-9*x^2-9*x+81
x-3
3*x^2-x^3
81-6*x^2-9*x
6*x^2-18*x
81-27*x
27*x-81
0
x^2-6*x-27 = 0
DELTA = (-6)^2-(-27*1*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+6)/(1*2) or x = (6-144^(1/2))/(1*2)
x = 9 or x = -3
x in { -3, 9, 3}
2*(x+3)*(x-9)*(x-3) = 0
(2*(x+3)*(x-9)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0
(2*(x+3)*(x-9)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0 // * (x-3)*(x+3)*(x^2-9)
2*(x+3)*(x-9)*(x-3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-3 )
x-3 = 0 // + 3
x = 3
( x-9 )
x-9 = 0 // + 9
x = 9
x in { -3}
x in { 3}
x = 9
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