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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*(1/x-3)^2-(9/x)-2+3 = 0
5*(1/x-3)^2-9*x^-1-2+3 = 0
5*(x^-1-3)^2-9/x-2+3 = 0
(5*x*(x^-1-3)^2)/x-9/x+(-2*x)/x+(3*x)/x = 0
5*x*(x^-1-3)^2-2*x+3*x-9 = 0
45*x-2*x+3*x+5*x^-1-39 = 0
43*x+3*x+5*x^-1-39 = 0
46*x+5*x^-1-39 = 0
46*x+5*x^-1-39 = 0
46*x^1+5*x^-1-39*x^0 = 0
(46*x^2-39*x^1+5*x^0)/(x^1) = 0 // * x^2
x^1*(46*x^2-39*x^1+5*x^0) = 0
x^1
46*x^2-39*x+5 = 0
46*x^2-39*x+5 = 0
DELTA = (-39)^2-(4*5*46)
DELTA = 601
DELTA > 0
x = (601^(1/2)+39)/(2*46) or x = (39-601^(1/2))/(2*46)
x = (601^(1/2)+39)/92 or x = (39-601^(1/2))/92
x in { (39-601^(1/2))/92, (601^(1/2)+39)/92}
(x-((39-601^(1/2))/92))*(x-((601^(1/2)+39)/92)) = 0
((x-((39-601^(1/2))/92))*(x-((601^(1/2)+39)/92)))/x = 0
((x-((39-601^(1/2))/92))*(x-((601^(1/2)+39)/92)))/x = 0 // * x
(x-((39-601^(1/2))/92))*(x-((601^(1/2)+39)/92)) = 0
( x-((39-601^(1/2))/92) )
x-((39-601^(1/2))/92) = 0 // + (39-601^(1/2))/92
x = (39-601^(1/2))/92
( x-((601^(1/2)+39)/92) )
x-((601^(1/2)+39)/92) = 0 // + (601^(1/2)+39)/92
x = (601^(1/2)+39)/92
x in { (39-601^(1/2))/92, (601^(1/2)+39)/92 }
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