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D( x )
3*x-9 = 0
x*x-9 = 0
3*x-9 = 0
3*x-9 = 0
3*x-9 = 0 // + 9
3*x = 9 // : 3
x = 9/3
x = 3
x*x-9 = 0
x*x-9 = 0
1*x^2 = 9 // : 1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in (-oo:-3) U (-3:3) U (3:+oo)
1/(3*x-9)-(2/(x*x-9)) = 1 // - 1
1/(3*x-9)-(2/(x*x-9))-1 = 0
1/(3*x-9)-2*(x*x-9)^-1-1 = 0
1/(3*x-9)-2/(x^2-9)-1 = 0
(1*(x^2-9))/((3*x-9)*(x^2-9))+(-2*(3*x-9))/((3*x-9)*(x^2-9))+(-1*(3*x-9)*(x^2-9))/((3*x-9)*(x^2-9)) = 0
1*(x^2-9)-2*(3*x-9)-1*(3*x-9)*(x^2-9) = 0
x^2-3*x^3+9*x^2-6*x+27*x-81+9 = 0
10*x^2-3*x^3+21*x-72 = 0
10*x^2-3*x^3+21*x-72 = 0
10*x^2-3*x^3+21*x-72 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 36, -36, 72, -72 }
1
x = 1
10*x^2-3*x^3+21*x-72 = -44
1
-1
x = -1
10*x^2-3*x^3+21*x-72 = -80
-1
2
x = 2
10*x^2-3*x^3+21*x-72 = -14
2
-2
x = -2
10*x^2-3*x^3+21*x-72 = -50
-2
3
x = 3
10*x^2-3*x^3+21*x-72 = 0
3
x-3
x-3*x^2+24
10*x^2-3*x^3+21*x-72
x-3
3*x^3-9*x^2
x^2+21*x-72
3*x-x^2
24*x-72
72-24*x
0
x-3*x^2+24 = 0
DELTA = 1^2-(-3*4*24)
DELTA = 289
DELTA > 0
x = (289^(1/2)-1)/(-3*2) or x = (-289^(1/2)-1)/(-3*2)
x = -8/3 or x = 3
x in { -8/3, 3, 3}
(x+8/3)*(x-3)^2 = 0
((x+8/3)*(x-3)^2)/((3*x-9)*(x^2-9)) = 0
((x+8/3)*(x-3)^2)/((3*x-9)*(x^2-9)) = 0 // * (3*x-9)*(x^2-9)
(x+8/3)*(x-3)^2 = 0
( x+8/3 )
x+8/3 = 0 // - 8/3
x = -8/3
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3}
x = -8/3
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