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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
0 = (25*x^2)/(x-2)-((2*x)/(x-2))+9 // - (25*x^2)/(x-2)-((2*x)/(x-2))+9
(2*x)/(x-2)-((25*x^2)/(x-2))-9+0 = 0
(2*x)/(x-2)-25*x^2*(x-2)^-1-9 = 0
(-25*x^2)/(x-2)+(2*x)/(x-2)-9 = 0
(-25*x^2)/(x-2)+(2*x)/(x-2)+(-9*(x-2))/(x-2) = 0
2*x-9*(x-2)-25*x^2 = 0
2*x-25*x^2-9*x+18 = 0
18-25*x^2-7*x = 0
18-25*x^2-7*x = 0
18-25*x^2-7*x = 0
DELTA = (-7)^2-(-25*4*18)
DELTA = 1849
DELTA > 0
x = (1849^(1/2)+7)/(-25*2) or x = (7-1849^(1/2))/(-25*2)
x = -1 or x = 18/25
(x+1)*(x-18/25) = 0
((x+1)*(x-18/25))/(x-2) = 0
((x+1)*(x-18/25))/(x-2) = 0 // * x-2
(x+1)*(x-18/25) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-18/25 )
x-18/25 = 0 // + 18/25
x = 18/25
x in { -1, 18/25 }
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