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D( x )
13-x = 0
x+2 = 0
x-13 = 0
13-x = 0
13-x = 0
13-x = 0 // - 13
-x = -13 // * -1
x = 13
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x-13 = 0
x-13 = 0
x-13 = 0 // + 13
x = 13
x in (-oo:-2) U (-2:13) U (13:+oo)
24/(x+2)+171/(x-13)-((30/(13-x))*(x+2)) = 0
24/(x+2)+171/(x-13)-30*(x+2)*(13-x)^-1 = 0
24/(x+2)+171/(x-13)+(-30*(x+2))/(13-x) = 0
(24*(x-13)*(13-x))/((x+2)*(x-13)*(13-x))+(171*(x+2)*(13-x))/((x+2)*(x-13)*(13-x))+(-30*(x+2)^2*(x-13))/((x+2)*(x-13)*(13-x)) = 0
24*(x-13)*(13-x)+171*(x+2)*(13-x)-30*(x+2)^2*(x-13) = 0
270*x^2-30*x^3-195*x^2+2505*x+1440*x+390+1560 = 0
75*x^2-30*x^3+3945*x+1950 = 0
75*x^2-30*x^3+3945*x+1950 = 0
15*(5*x^2-2*x^3+263*x+130) = 0
5*x^2-2*x^3+263*x+130 = 0
{ 1, -1, 2, -2, 5, -5, 10, -10, 13, -13, 26, -26, 65, -65, 130, -130 }
1
x = 1
5*x^2-2*x^3+263*x+130 = 396
1
-1
x = -1
5*x^2-2*x^3+263*x+130 = -126
-1
2
x = 2
5*x^2-2*x^3+263*x+130 = 660
2
-2
x = -2
5*x^2-2*x^3+263*x+130 = -360
-2
5
x = 5
5*x^2-2*x^3+263*x+130 = 1320
5
-5
x = -5
5*x^2-2*x^3+263*x+130 = -810
-5
10
x = 10
5*x^2-2*x^3+263*x+130 = 1260
10
-10
x = -10
5*x^2-2*x^3+263*x+130 = 0
-10
x+10
25*x-2*x^2+13
5*x^2-2*x^3+263*x+130
x+10
2*x^3+20*x^2
25*x^2+263*x+130
-25*x^2-250*x
13*x+130
-13*x-130
0
25*x-2*x^2+13 = 0
DELTA = 25^2-(-2*4*13)
DELTA = 729
DELTA > 0
x = (729^(1/2)-25)/(-2*2) or x = (-729^(1/2)-25)/(-2*2)
x = -1/2 or x = 13
x in { -1/2, 13, -10}
15*(x+1/2)*(x-13)*(x+10) = 0
(15*(x+1/2)*(x-13)*(x+10))/((x+2)*(x-13)*(13-x)) = 0
(15*(x+1/2)*(x-13)*(x+10))/((x+2)*(x-13)*(13-x)) = 0 // * (x+2)*(x-13)*(13-x)
15*(x+1/2)*(x-13)*(x+10) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x+10 )
x+10 = 0 // - 10
x = -10
( x-13 )
x-13 = 0 // + 13
x = 13
x in { 13}
x in { -1/2, -10 }
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