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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2/9)*x+1/x = -8 // + 8
(2/9)*x+1/x+8 = 0
2/9*x^1+1*x^-1+8*x^0 = 0
(2/9*x^2+8*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(2/9*x^2+8*x^1+1*x^0) = 0
x^1
(2/9)*x^2+8*x+1 = 0
(2/9)*x^2+8*x+1 = 0
DELTA = 8^2-(1*4*(2/9))
DELTA = 568/9
DELTA > 0
x = ((568/9)^(1/2)-8)/(2*(2/9)) or x = (-(568/9)^(1/2)-8)/(2*(2/9))
x = 9/4*((568/9)^(1/2)-8) or x = -9/4*((568/9)^(1/2)+8)
x in { -9/4*((568/9)^(1/2)+8), 9/4*((568/9)^(1/2)-8)}
x in { -9/4*((568/9)^(1/2)+8), 9/4*((568/9)^(1/2)-8) }
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