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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(2/x)-6 = 3/2 // - 3/2
3*x-(2/x)-(3/2)-6 = 0
3*x-2*x^-1-3/2-6 = 0
3*x^1-2*x^-1-15/2*x^0 = 0
(3*x^2-15/2*x^1-2*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-15/2*x^1-2*x^0) = 0
x^1
3*x^2+(-15/2)*x-2 = 0
3*x^2+(-15/2)*x-2 = 0
DELTA = (-15/2)^2-(-2*3*4)
DELTA = 321/4
DELTA > 0
x = ((321/4)^(1/2)-(-15/2))/(2*3) or x = (-(-15/2)-(321/4)^(1/2))/(2*3)
x = ((321/4)^(1/2)+15/2)/6 or x = (15/2-(321/4)^(1/2))/6
x in { (15/2-(321/4)^(1/2))/6, ((321/4)^(1/2)+15/2)/6}
x in { (15/2-(321/4)^(1/2))/6, ((321/4)^(1/2)+15/2)/6 }
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