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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/x+3)*(x-(8/1))-1 = 0
(1/x+3)*(x-8)-1 = 0
(x^-1+3)*(x-8)-1 = 0
(x^-1+3)*(x-8)-1 = 0
3*x-8*x^-1-24 = 0
3*x-8*x^-1-24 = 0
3*x^1-8*x^-1-24*x^0 = 0
(3*x^2-24*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-24*x^1-8*x^0) = 0
x^1
3*x^2-24*x-8 = 0
3*x^2-24*x-8 = 0
DELTA = (-24)^2-(-8*3*4)
DELTA = 672
DELTA > 0
x = (672^(1/2)+24)/(2*3) or x = (24-672^(1/2))/(2*3)
x = (4*42^(1/2)+24)/6 or x = (24-4*42^(1/2))/6
x in { (24-4*42^(1/2))/6, (4*42^(1/2)+24)/6}
(x-((24-4*42^(1/2))/6))*(x-((4*42^(1/2)+24)/6)) = 0
(x-((24-4*42^(1/2))/6))*(x-((4*42^(1/2)+24)/6)) = 0
( x-((24-4*42^(1/2))/6) )
x-((24-4*42^(1/2))/6) = 0 // + (24-4*42^(1/2))/6
x = (24-4*42^(1/2))/6
( x-((4*42^(1/2)+24)/6) )
x-((4*42^(1/2)+24)/6) = 0 // + (4*42^(1/2)+24)/6
x = (4*42^(1/2)+24)/6
x in { (24-4*42^(1/2))/6, (4*42^(1/2)+24)/6 }
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