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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x+4/x-2 = 10 // - 10
6*x+4/x-10-2 = 0
6*x^1+4*x^-1-12*x^0 = 0
(6*x^2-12*x^1+4*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-12*x^1+4*x^0) = 0
x^1
6*x^2-12*x+4 = 0
6*x^2-12*x+4 = 0
DELTA = (-12)^2-(4*4*6)
DELTA = 48
DELTA > 0
x = (48^(1/2)+12)/(2*6) or x = (12-48^(1/2))/(2*6)
x = (4*3^(1/2)+12)/12 or x = (12-4*3^(1/2))/12
x in { (12-4*3^(1/2))/12, (4*3^(1/2)+12)/12}
x in { (12-4*3^(1/2))/12, (4*3^(1/2)+12)/12 }
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