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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) = 10/(x^2-9) // - 10/(x^2-9)
1/(x-3)+1/(x+3)-(10/(x^2-9)) = 0
1/(x-3)+1/(x+3)-10*(x^2-9)^-1 = 0
1/(x-3)+1/(x+3)-10/(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))+(-10*(x-3)*(x+3))/((x-3)*(x+3)*(x^2-9)) = 0
1*(x+3)*(x^2-9)+1*(x-3)*(x^2-9)-10*(x-3)*(x+3) = 0
2*x^3-10*x^2-18*x+90 = 0
2*x^3-10*x^2-18*x+90 = 0
2*(x^3-5*x^2-9*x+45) = 0
x^3-5*x^2-9*x+45 = 0
{ 1, -1, 3, -3, 5, -5, 9, -9, 15, -15, 45, -45 }
1
x = 1
x^3-5*x^2-9*x+45 = 32
1
-1
x = -1
x^3-5*x^2-9*x+45 = 48
-1
3
x = 3
x^3-5*x^2-9*x+45 = 0
3
x-3
x^2-2*x-15
x^3-5*x^2-9*x+45
x-3
3*x^2-x^3
45-2*x^2-9*x
2*x^2-6*x
45-15*x
15*x-45
0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
x in { -3, 5, 3}
2*(x+3)*(x-5)*(x-3) = 0
(2*(x+3)*(x-5)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0
(2*(x+3)*(x-5)*(x-3))/((x-3)*(x+3)*(x^2-9)) = 0 // * (x-3)*(x+3)*(x^2-9)
2*(x+3)*(x-5)*(x-3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-3 )
x-3 = 0 // + 3
x = 3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -3}
x in { 3}
x = 5
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