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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(24/4)*x-4 = 6/x // - 6/x
(24/4)*x-(6/x)-4 = 0
(24/4)*x-6*x^-1-4 = 0
6*x^1-6*x^-1-4*x^0 = 0
(6*x^2-4*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-4*x^1-6*x^0) = 0
x^1
6*x^2-4*x-6 = 0
6*x^2-4*x-6 = 0
DELTA = (-4)^2-(-6*4*6)
DELTA = 160
DELTA > 0
x = (160^(1/2)+4)/(2*6) or x = (4-160^(1/2))/(2*6)
x = (4*10^(1/2)+4)/12 or x = (4-4*10^(1/2))/12
x in { (4-4*10^(1/2))/12, (4*10^(1/2)+4)/12}
x in { (4-4*10^(1/2))/12, (4*10^(1/2)+4)/12 }
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