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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) = 1/(x^2-9) // - 1/(x^2-9)
1/(x-3)+1/(x+3)-(1/(x^2-9)) = 0
1/(x-3)+1/(x+3)-(x^2-9)^-1 = 0
1/(x-3)+1/(x+3)-1/(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))+(-1*(x-3)*(x+3))/((x-3)*(x+3)*(x^2-9)) = 0
1*(x+3)*(x^2-9)+1*(x-3)*(x^2-9)-1*(x-3)*(x+3) = 0
2*x^3-x^2-18*x+9 = 0
2*x^3-x^2-18*x+9 = 0
2*x^3-x^2-18*x+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
2*x^3-x^2-18*x+9 = -8
1
-1
x = -1
2*x^3-x^2-18*x+9 = 24
-1
3
x = 3
2*x^3-x^2-18*x+9 = 0
3
x-3
2*x^2+5*x-3
2*x^3-x^2-18*x+9
x-3
6*x^2-2*x^3
5*x^2-18*x+9
15*x-5*x^2
9-3*x
3*x-9
0
2*x^2+5*x-3 = 0
DELTA = 5^2-(-3*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)
x = 1/2 or x = -3
x in { -3, 1/2, 3}
(x+3)*(x-1/2)*(x-3) = 0
((x+3)*(x-1/2)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0
((x+3)*(x-1/2)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0 // * (x-3)*(x+3)*(x^2-9)
(x+3)*(x-1/2)*(x-3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -3}
x in { 3}
x = 1/2
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