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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6/x-(1/2) = (3/2)*x // - (3/2)*x
6/x-((3/2)*x)-(1/2) = 0
(-3/2)*x+6/x-1/2 = 0
6*x^-1-3/2*x^1-1/2*x^0 = 0
(6*x^0-3/2*x^2-1/2*x^1)/(x^1) = 0 // * x^2
x^1*(6*x^0-3/2*x^2-1/2*x^1) = 0
x^1
(-3/2)*x^2+(-1/2)*x+6 = 0
(-3/2)*x^2+(-1/2)*x+6 = 0
DELTA = (-1/2)^2-(4*6*(-3/2))
DELTA = 145/4
DELTA > 0
x = ((145/4)^(1/2)-(-1/2))/(2*(-3/2)) or x = (-(-1/2)-(145/4)^(1/2))/(2*(-3/2))
x = ((145/4)^(1/2)+1/2)/(-3) or x = (1/2-(145/4)^(1/2))/(-3)
x in { ((145/4)^(1/2)+1/2)/(-3), (1/2-(145/4)^(1/2))/(-3)}
x in { ((145/4)^(1/2)+1/2)/(-3), (1/2-(145/4)^(1/2))/(-3) }
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