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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(12/2)*x+2/x-10-5 = 7/2 // - 7/2
(12/2)*x+2/x-(7/2)-10-5 = 0
(12/2)*x+2/x-7/2-10-5 = 0
6*x^1+2*x^-1-37/2*x^0 = 0
(6*x^2-37/2*x^1+2*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-37/2*x^1+2*x^0) = 0
x^1
6*x^2+(-37/2)*x+2 = 0
6*x^2+(-37/2)*x+2 = 0
DELTA = (-37/2)^2-(2*4*6)
DELTA = 1177/4
DELTA > 0
x = ((1177/4)^(1/2)-(-37/2))/(2*6) or x = (-(-37/2)-(1177/4)^(1/2))/(2*6)
x = ((1177/4)^(1/2)+37/2)/12 or x = (37/2-(1177/4)^(1/2))/12
x in { (37/2-(1177/4)^(1/2))/12, ((1177/4)^(1/2)+37/2)/12}
x in { (37/2-(1177/4)^(1/2))/12, ((1177/4)^(1/2)+37/2)/12 }
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