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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)
(x/(x-2))^2-(2*(x/(x-2))) = 24 // - 24
(x/(x-2))^2-(2*(x/(x-2)))-24 = 0
(x/(x-2))^2-2*x*(x-2)^-1-24 = 0
(x^2)/((x-2)^2)+(-2*x)/(x-2)-24 = 0
(x^2)/((x-2)^2)+(-2*x*(x-2))/((x-2)^2)+(-24*(x-2)^2)/((x-2)^2) = 0
x^2-2*x*(x-2)-24*(x-2)^2 = 0
4*x-x^2-24*x^2+96*x-96 = 0
100*x-25*x^2-96 = 0
100*x-25*x^2-96 = 0
100*x-25*x^2-96 = 0
DELTA = 100^2-(-96*(-25)*4)
DELTA = 400
DELTA > 0
x = (400^(1/2)-100)/(-25*2) or x = (-400^(1/2)-100)/(-25*2)
x = 8/5 or x = 12/5
(x-8/5)*(x-12/5) = 0
((x-8/5)*(x-12/5))/((x-2)^2) = 0
((x-8/5)*(x-12/5))/((x-2)^2) = 0 // * (x-2)^2
(x-8/5)*(x-12/5) = 0
( x-12/5 )
x-12/5 = 0 // + 12/5
x = 12/5
( x-8/5 )
x-8/5 = 0 // + 8/5
x = 8/5
x in { 12/5, 8/5 }
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