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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(16/3)*x+2 = 8/x // - 8/x
(16/3)*x-(8/x)+2 = 0
(16/3)*x-8*x^-1+2 = 0
16/3*x^1-8*x^-1+2*x^0 = 0
(16/3*x^2+2*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(16/3*x^2+2*x^1-8*x^0) = 0
x^1
(16/3)*x^2+2*x-8 = 0
(16/3)*x^2+2*x-8 = 0
DELTA = 2^2-(-8*4*(16/3))
DELTA = 524/3
DELTA > 0
x = ((524/3)^(1/2)-2)/(2*(16/3)) or x = (-(524/3)^(1/2)-2)/(2*(16/3))
x = 3/32*((524/3)^(1/2)-2) or x = -3/32*((524/3)^(1/2)+2)
x in { -3/32*((524/3)^(1/2)+2), 3/32*((524/3)^(1/2)-2)}
x in { -3/32*((524/3)^(1/2)+2), 3/32*((524/3)^(1/2)-2) }
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