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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(3*x)-(1/x)+4/x+8+8 = 0
5*x-3*x-x^-1+4/x+8+8 = 0
2*x^1+3*x^-1+16*x^0 = 0
(2*x^2+16*x^1+3*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2+16*x^1+3*x^0) = 0
x^1
2*x^2+16*x+3 = 0
2*x^2+16*x+3 = 0
DELTA = 16^2-(2*3*4)
DELTA = 232
DELTA > 0
x = (232^(1/2)-16)/(2*2) or x = (-232^(1/2)-16)/(2*2)
x = (2*58^(1/2)-16)/4 or x = (-2*58^(1/2)-16)/4
x in { (-2*58^(1/2)-16)/4, (2*58^(1/2)-16)/4}
x in { (-2*58^(1/2)-16)/4, (2*58^(1/2)-16)/4 }
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