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D( x )
x = 0
x-8 = 0
x = 0
x = 0
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x in (-oo:0) U (0:8) U (8:+oo)
(6*x+4)/x = (4*x)/(x-8) // - (4*x)/(x-8)
(6*x+4)/x-((4*x)/(x-8)) = 0
(6*x+4)/x-4*x*(x-8)^-1 = 0
(6*x+4)/x+(-4*x)/(x-8) = 0
((6*x+4)*(x-8))/(x*(x-8))+(-4*x*x)/(x*(x-8)) = 0
(6*x+4)*(x-8)-4*x*x = 0
2*x^2-44*x-32 = 0
2*x^2-44*x-32 = 0
2*(x^2-22*x-16) = 0
x^2-22*x-16 = 0
DELTA = (-22)^2-(-16*1*4)
DELTA = 548
DELTA > 0
x = (548^(1/2)+22)/(1*2) or x = (22-548^(1/2))/(1*2)
x = (2*137^(1/2)+22)/2 or x = (22-2*137^(1/2))/2
2*(x-((22-2*137^(1/2))/2))*(x-((2*137^(1/2)+22)/2)) = 0
(2*(x-((22-2*137^(1/2))/2))*(x-((2*137^(1/2)+22)/2)))/(x*(x-8)) = 0
(2*(x-((22-2*137^(1/2))/2))*(x-((2*137^(1/2)+22)/2)))/(x*(x-8)) = 0 // * x*(x-8)
2*(x-((22-2*137^(1/2))/2))*(x-((2*137^(1/2)+22)/2)) = 0
( x-((2*137^(1/2)+22)/2) )
x-((2*137^(1/2)+22)/2) = 0 // + (2*137^(1/2)+22)/2
x = (2*137^(1/2)+22)/2
( x-((22-2*137^(1/2))/2) )
x-((22-2*137^(1/2))/2) = 0 // + (22-2*137^(1/2))/2
x = (22-2*137^(1/2))/2
x in { (2*137^(1/2)+22)/2, (22-2*137^(1/2))/2 }
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