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D( x )
2*x-1 = 0
(2*x-1)^2 = 0
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
(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)
2 = 11/(2*x-1)-5/((2*x-1)^2) // - 11/(2*x-1)-5/((2*x-1)^2)
2-(11/(2*x-1))-(-5/((2*x-1)^2)) = 0
5*(2*x-1)^-2-11*(2*x-1)^-1+2 = 0
5/((2*x-1)^2)-11/(2*x-1)+2 = 0
(-11*(2*x-1))/((2*x-1)^2)+5/((2*x-1)^2)+(2*(2*x-1)^2)/((2*x-1)^2) = 0
2*(2*x-1)^2-11*(2*x-1)+5 = 0
8*x^2-22*x-8*x+2+16 = 0
8*x^2-30*x+18 = 0
8*x^2-30*x+18 = 0
2*(4*x^2-15*x+9) = 0
4*x^2-15*x+9 = 0
DELTA = (-15)^2-(4*4*9)
DELTA = 81
DELTA > 0
x = (81^(1/2)+15)/(2*4) or x = (15-81^(1/2))/(2*4)
x = 3 or x = 3/4
2*(x-3/4)*(x-3) = 0
(2*(x-3/4)*(x-3))/((2*x-1)^2) = 0
(2*(x-3/4)*(x-3))/((2*x-1)^2) = 0 // * (2*x-1)^2
2*(x-3/4)*(x-3) = 0
( x-3/4 )
x-3/4 = 0 // + 3/4
x = 3/4
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3/4, 3 }
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