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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x+5/x-8 = 4/4 // - 4/4
3*x+5/x-(4/4)-8 = 0
3*x+5/x-8-1 = 0
3*x^1+5*x^-1-9*x^0 = 0
(3*x^2-9*x^1+5*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-9*x^1+5*x^0) = 0
x^1
3*x^2-9*x+5 = 0
3*x^2-9*x+5 = 0
DELTA = (-9)^2-(3*4*5)
DELTA = 21
DELTA > 0
x = (21^(1/2)+9)/(2*3) or x = (9-21^(1/2))/(2*3)
x = (21^(1/2)+9)/6 or x = (9-21^(1/2))/6
x in { (9-21^(1/2))/6, (21^(1/2)+9)/6}
x in { (9-21^(1/2))/6, (21^(1/2)+9)/6 }
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