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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
8*x-(1/(x-1)) = 0
8*x-(x-1)^-1 = 0
8*x-1/(x-1) = 0
(8*x*(x-1))/(x-1)-1/(x-1) = 0
8*x*(x-1)-1 = 0
8*x^2-8*x-1 = 0
8*x^2-8*x-1 = 0
8*x^2-8*x-1 = 0
DELTA = (-8)^2-(-1*4*8)
DELTA = 96
DELTA > 0
x = (96^(1/2)+8)/(2*8) or x = (8-96^(1/2))/(2*8)
x = (4*6^(1/2)+8)/16 or x = (8-4*6^(1/2))/16
(x-((8-4*6^(1/2))/16))*(x-((4*6^(1/2)+8)/16)) = 0
((x-((8-4*6^(1/2))/16))*(x-((4*6^(1/2)+8)/16)))/(x-1) = 0
((x-((8-4*6^(1/2))/16))*(x-((4*6^(1/2)+8)/16)))/(x-1) = 0 // * x-1
(x-((8-4*6^(1/2))/16))*(x-((4*6^(1/2)+8)/16)) = 0
( x-((4*6^(1/2)+8)/16) )
x-((4*6^(1/2)+8)/16) = 0 // + (4*6^(1/2)+8)/16
x = (4*6^(1/2)+8)/16
( x-((8-4*6^(1/2))/16) )
x-((8-4*6^(1/2))/16) = 0 // + (8-4*6^(1/2))/16
x = (8-4*6^(1/2))/16
x in { (4*6^(1/2)+8)/16, (8-4*6^(1/2))/16 }
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