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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6/x = 3-x+7 // - 3-x+7
x+6/x-7-3 = 0
1*x^1+6*x^-1-10*x^0 = 0
(1*x^2-10*x^1+6*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-10*x^1+6*x^0) = 0
x^1
x^2-10*x+6 = 0
x^2-10*x+6 = 0
DELTA = (-10)^2-(1*4*6)
DELTA = 76
DELTA > 0
x = (76^(1/2)+10)/(1*2) or x = (10-76^(1/2))/(1*2)
x = (2*19^(1/2)+10)/2 or x = (10-2*19^(1/2))/2
x in { (10-2*19^(1/2))/2, (2*19^(1/2)+10)/2}
x in { (10-2*19^(1/2))/2, (2*19^(1/2)+10)/2 }
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