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D( x )
x-5 = 0
x-2 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:5) U (5:+oo)
-4/(x-2)-(10/(x-5)) = 8 // - 8
-4/(x-2)-(10/(x-5))-8 = 0
-4/(x-2)-10*(x-5)^-1-8 = 0
-4/(x-2)-10/(x-5)-8 = 0
(-4*(x-5))/((x-2)*(x-5))+(-10*(x-2))/((x-2)*(x-5))+(-8*(x-2)*(x-5))/((x-2)*(x-5)) = 0
-4*(x-5)-10*(x-2)-8*(x-2)*(x-5) = 0
56*x-8*x^2-14*x-80+40 = 0
42*x-8*x^2-40 = 0
42*x-8*x^2-40 = 0
2*(21*x-4*x^2-20) = 0
21*x-4*x^2-20 = 0
DELTA = 21^2-(-20*(-4)*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)-21)/(-4*2) or x = (-121^(1/2)-21)/(-4*2)
x = 5/4 or x = 4
2*(x-5/4)*(x-4) = 0
(2*(x-5/4)*(x-4))/((x-2)*(x-5)) = 0
(2*(x-5/4)*(x-4))/((x-2)*(x-5)) = 0 // * (x-2)*(x-5)
2*(x-5/4)*(x-4) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-5/4 )
x-5/4 = 0 // + 5/4
x = 5/4
x in { 4, 5/4 }
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