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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2/3)*x-(1/x)-9 = 5/6 // - 5/6
(2/3)*x-(1/x)-(5/6)-9 = 0
(2/3)*x-x^-1-5/6-9 = 0
2/3*x^1-1*x^-1-59/6*x^0 = 0
(2/3*x^2-59/6*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(2/3*x^2-59/6*x^1-1*x^0) = 0
x^1
(2/3)*x^2+(-59/6)*x-1 = 0
(2/3)*x^2+(-59/6)*x-1 = 0
DELTA = (-59/6)^2-(-1*4*(2/3))
DELTA = 3577/36
DELTA > 0
x = ((3577/36)^(1/2)-(-59/6))/(2*(2/3)) or x = (-(-59/6)-(3577/36)^(1/2))/(2*(2/3))
x = 3/4*((3577/36)^(1/2)+59/6) or x = 3/4*(59/6-(3577/36)^(1/2))
x in { 3/4*(59/6-(3577/36)^(1/2)), 3/4*((3577/36)^(1/2)+59/6)}
x in { 3/4*(59/6-(3577/36)^(1/2)), 3/4*((3577/36)^(1/2)+59/6) }
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