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D( x )
4*x-2 = 0
4*x-2 = 0
4*x-2 = 0
4*x-2 = 0 // + 2
4*x = 2 // : 4
x = 2/4
x = 1/2
x in (-oo:1/2) U (1/2:+oo)
(6*x-1)/4 = 7/(4*x-2) // - 7/(4*x-2)
(6*x-1)/4-(7/(4*x-2)) = 0
(6*x-1)/4-7*(4*x-2)^-1 = 0
(6*x-1)/4-7/(4*x-2) = 0
((6*x-1)*(4*x-2))/(4*(4*x-2))+(-7*4)/(4*(4*x-2)) = 0
(6*x-1)*(4*x-2)-7*4 = 0
24*x^2-16*x-26 = 0
24*x^2-16*x-26 = 0
2*(12*x^2-8*x-13) = 0
12*x^2-8*x-13 = 0
DELTA = (-8)^2-(-13*4*12)
DELTA = 688
DELTA > 0
x = (688^(1/2)+8)/(2*12) or x = (8-688^(1/2))/(2*12)
x = (4*43^(1/2)+8)/24 or x = (8-4*43^(1/2))/24
2*(x-((8-4*43^(1/2))/24))*(x-((4*43^(1/2)+8)/24)) = 0
(2*(x-((8-4*43^(1/2))/24))*(x-((4*43^(1/2)+8)/24)))/(4*(4*x-2)) = 0
(2*(x-((8-4*43^(1/2))/24))*(x-((4*43^(1/2)+8)/24)))/(4*(4*x-2)) = 0 // * 4*(4*x-2)
2*(x-((8-4*43^(1/2))/24))*(x-((4*43^(1/2)+8)/24)) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((4*43^(1/2)+8)/24) )
x-((4*43^(1/2)+8)/24) = 0 // + (4*43^(1/2)+8)/24
x = (4*43^(1/2)+8)/24
( x-((8-4*43^(1/2))/24) )
x-((8-4*43^(1/2))/24) = 0 // + (8-4*43^(1/2))/24
x = (8-4*43^(1/2))/24
x in { (4*43^(1/2)+8)/24, (8-4*43^(1/2))/24 }
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