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D( x )
x-2 = 0
x = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x = 0
x = 0
x in (-oo:0) U (0:2) U (2:+oo)
60/(x-2)-(50/x) = 10 // - 10
60/(x-2)-(50/x)-10 = 0
60/(x-2)-50*x^-1-10 = 0
60/(x-2)-50/x-10 = 0
(60*x)/(x*(x-2))+(-50*(x-2))/(x*(x-2))+(-10*x*(x-2))/(x*(x-2)) = 0
60*x-50*(x-2)-10*x*(x-2) = 0
10*x-10*x^2+20*x+100 = 0
30*x-10*x^2+100 = 0
30*x-10*x^2+100 = 0
10*(3*x-x^2+10) = 0
3*x-x^2+10 = 0
DELTA = 3^2-(-1*4*10)
DELTA = 49
DELTA > 0
x = (49^(1/2)-3)/(-1*2) or x = (-49^(1/2)-3)/(-1*2)
x = -2 or x = 5
10*(x+2)*(x-5) = 0
(10*(x+2)*(x-5))/(x*(x-2)) = 0
(10*(x+2)*(x-5))/(x*(x-2)) = 0 // * x*(x-2)
10*(x+2)*(x-5) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -2, 5 }
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