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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(2*a)-(12/x)+4/9 = 0
3*x-2*a-12*x^-1+4/9 = 0
3*x^1-12*x^-1+4/9*x^0 = 0
(3*x^2+4/9*x^1-12*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2+4/9*x^1-12*x^0) = 0
x^1
3*x^2+(4/9)*x-12 = 0
3*x^2+(4/9)*x-12 = 0
DELTA = (4/9)^2-(-12*3*4)
DELTA = 11680/81
DELTA > 0
x = ((11680/81)^(1/2)-(4/9))/(2*3) or x = (-(4/9)-(11680/81)^(1/2))/(2*3)
x = ((11680/81)^(1/2)-4/9)/6 or x = (-((11680/81)^(1/2)+4/9))/6
x in { (-((11680/81)^(1/2)+4/9))/6, ((11680/81)^(1/2)-4/9)/6}
x in { (-((11680/81)^(1/2)+4/9))/6, ((11680/81)^(1/2)-4/9)/6 }
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