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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(1/3) = 6/x // - 6/x
5*x-(6/x)-(1/3) = 0
5*x-6*x^-1-1/3 = 0
5*x^1-6*x^-1-1/3*x^0 = 0
(5*x^2-1/3*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-1/3*x^1-6*x^0) = 0
x^1
5*x^2+(-1/3)*x-6 = 0
5*x^2+(-1/3)*x-6 = 0
DELTA = (-1/3)^2-(-6*4*5)
DELTA = 1081/9
DELTA > 0
x = ((1081/9)^(1/2)-(-1/3))/(2*5) or x = (-(-1/3)-(1081/9)^(1/2))/(2*5)
x = ((1081/9)^(1/2)+1/3)/10 or x = (1/3-(1081/9)^(1/2))/10
x in { (1/3-(1081/9)^(1/2))/10, ((1081/9)^(1/2)+1/3)/10}
x in { (1/3-(1081/9)^(1/2))/10, ((1081/9)^(1/2)+1/3)/10 }
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