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D( x )
x^2-(3*x) = 0
3-x = 0
x^2-(3*x) = 0
x^2-(3*x) = 0
x^2-3*x = 0
x^2-3*x = 0
DELTA = (-3)^2-(0*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+3)/(1*2) or x = (3-9^(1/2))/(1*2)
x = 3 or x = 0
3-x = 0
3-x = 0
3-x = 0 // - 3
-x = -3 // * -1
x = 3
x in (-oo:0) U (0:3) U (3:+oo)
9/(x^2-(3*x))+x/(3-x) = 1 // - 1
9/(x^2-(3*x))+x/(3-x)-1 = 0
9/(x^2-3*x)+x/(3-x)-1 = 0
x^2-3*x = 0
x^2-3*x = 0
x*(x-3) = 0
x-3 = 0 // + 3
x = 3
x*(x-3) = 0
9/(x*(x-3))+x/(3-x)-1 = 0
(9*(3-x))/(x*(x-3)*(3-x))+(x^2*(x-3))/(x*(x-3)*(3-x))+(-1*x*(x-3)*(3-x))/(x*(x-3)*(3-x)) = 0
9*(3-x)+x^2*(x-3)-1*x*(x-3)*(3-x) = 0
x^3+x^3-3*x^2-6*x^2-9*x+9*x+27 = 0
2*x^3-9*x^2+27 = 0
2*x^3-9*x^2+27 = 0
2*x^3-9*x^2+27 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27 }
1
x = 1
2*x^3-9*x^2+27 = 20
1
-1
x = -1
2*x^3-9*x^2+27 = 16
-1
3
x = 3
2*x^3-9*x^2+27 = 0
3
x-3
2*x^2-3*x-9
2*x^3-9*x^2+27
x-3
6*x^2-2*x^3
27-3*x^2
3*x^2-9*x
27-9*x
9*x-27
0
2*x^2-3*x-9 = 0
DELTA = (-3)^2-(-9*2*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)+3)/(2*2) or x = (3-81^(1/2))/(2*2)
x = 3 or x = -3/2
x in { -3/2, 3, 3}
(x+3/2)*(x-3)^2 = 0
((x+3/2)*(x-3)^2)/(x*(x-3)*(3-x)) = 0
((x+3/2)*(x-3)^2)/(x*(x-3)*(3-x)) = 0 // * x*(x-3)*(3-x)
(x+3/2)*(x-3)^2 = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3}
x = -3/2
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