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D( x )
3*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 in (-oo:-3) U (-3:+oo)
-1 = (x^2+3*x)/(3*x+9)-x^2 // - (x^2+3*x)/(3*x+9)-x^2
x^2-((x^2+3*x)/(3*x+9))-1 = 0
(-1*(x^2+3*x))/(3*x+9)+x^2-1 = 0
(-1*(x^2+3*x))/(3*x+9)+(x^2*(3*x+9))/(3*x+9)+(-1*(3*x+9))/(3*x+9) = 0
x^2*(3*x+9)-1*(x^2+3*x)-1*(3*x+9) = 0
3*x^3+8*x^2-3*x-3*x-9 = 0
3*x^3+8*x^2-6*x-9 = 0
3*x^3+8*x^2-6*x-9 = 0
3*x^3+8*x^2-6*x-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
3*x^3+8*x^2-6*x-9 = -4
1
-1
x = -1
3*x^3+8*x^2-6*x-9 = 2
-1
3
x = 3
3*x^3+8*x^2-6*x-9 = 126
3
-3
x = -3
3*x^3+8*x^2-6*x-9 = 0
-3
x+3
3*x^2-x-3
3*x^3+8*x^2-6*x-9
x+3
-3*x^3-9*x^2
-x^2-6*x-9
x^2+3*x
-3*x-9
3*x+9
0
3*x^2-x-3 = 0
DELTA = (-1)^2-(-3*3*4)
DELTA = 37
DELTA > 0
x = (37^(1/2)+1)/(2*3) or x = (1-37^(1/2))/(2*3)
x = (37^(1/2)+1)/6 or x = (1-37^(1/2))/6
x in { (1-37^(1/2))/6, (37^(1/2)+1)/6, -3}
(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6))*(x+3) = 0
((x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6))*(x+3))/(3*x+9) = 0
((x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6))*(x+3))/(3*x+9) = 0 // * 3*x+9
(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6))*(x+3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-((1-37^(1/2))/6) )
x-((1-37^(1/2))/6) = 0 // + (1-37^(1/2))/6
x = (1-37^(1/2))/6
( x-((37^(1/2)+1)/6) )
x-((37^(1/2)+1)/6) = 0 // + (37^(1/2)+1)/6
x = (37^(1/2)+1)/6
x in { -3}
x in { (1-37^(1/2))/6, (37^(1/2)+1)/6 }
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