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D( x )
(2*x-1)^2 = 0
(2*x-1)^2 = 0
(2*x-1)^2 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x in (-oo:1/2) U (1/2:+oo)
3/((2*x-1)^2) = 27 // - 27
3/((2*x-1)^2)-27 = 0
3/((2*x-1)^2)+(-27*(2*x-1)^2)/((2*x-1)^2) = 0
3-27*(2*x-1)^2 = 0
108*x-108*x^2-24 = 0
108*x-108*x^2-24 = 0
12*(9*x-9*x^2-2) = 0
9*x-9*x^2-2 = 0
DELTA = 9^2-(-9*(-2)*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-9)/(-9*2) or x = (-9^(1/2)-9)/(-9*2)
x = 1/3 or x = 2/3
12*(x-1/3)*(x-2/3) = 0
(12*(x-1/3)*(x-2/3))/((2*x-1)^2) = 0
(12*(x-1/3)*(x-2/3))/((2*x-1)^2) = 0 // * (2*x-1)^2
12*(x-1/3)*(x-2/3) = 0
( 12 )
12 = 0
x belongs to the empty set
( x-1/3 )
x-1/3 = 0 // + 1/3
x = 1/3
( x-2/3 )
x-2/3 = 0 // + 2/3
x = 2/3
x in { 1/3, 2/3 }
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