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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/3)*x+(1/5)*x+1/x = 8 // - 8
(1/3)*x+(1/5)*x+1/x-8 = 0
8/15*x^1+1*x^-1-8*x^0 = 0
(8/15*x^2-8*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(8/15*x^2-8*x^1+1*x^0) = 0
x^1
(8/15)*x^2-8*x+1 = 0
(8/15)*x^2-8*x+1 = 0
DELTA = (-8)^2-(1*4*(8/15))
DELTA = 928/15
DELTA > 0
x = ((928/15)^(1/2)+8)/(2*(8/15)) or x = (8-(928/15)^(1/2))/(2*(8/15))
x = 15/16*((928/15)^(1/2)+8) or x = 15/16*(8-(928/15)^(1/2))
x in { 15/16*(8-(928/15)^(1/2)), 15/16*((928/15)^(1/2)+8)}
x in { 15/16*(8-(928/15)^(1/2)), 15/16*((928/15)^(1/2)+8) }
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