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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2/9)*x-1/x = -5 // + 5
(2/9)*x-1/x+5 = 0
2/9*x^1-1*x^-1+5*x^0 = 0
(2/9*x^2+5*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(2/9*x^2+5*x^1-1*x^0) = 0
x^1
(2/9)*x^2+5*x-1 = 0
(2/9)*x^2+5*x-1 = 0
DELTA = 5^2-(-1*4*(2/9))
DELTA = 233/9
DELTA > 0
x = ((233/9)^(1/2)-5)/(2*(2/9)) or x = (-(233/9)^(1/2)-5)/(2*(2/9))
x = 9/4*((233/9)^(1/2)-5) or x = -9/4*((233/9)^(1/2)+5)
x in { -9/4*((233/9)^(1/2)+5), 9/4*((233/9)^(1/2)-5)}
x in { -9/4*((233/9)^(1/2)+5), 9/4*((233/9)^(1/2)-5) }
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