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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(10/2)*x = 3/x+6 // - 3/x+6
(10/2)*x-(3/x)-6 = 0
(10/2)*x-3*x^-1-6 = 0
5*x^1-3*x^-1-6*x^0 = 0
(5*x^2-6*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-6*x^1-3*x^0) = 0
x^1
5*x^2-6*x-3 = 0
5*x^2-6*x-3 = 0
DELTA = (-6)^2-(-3*4*5)
DELTA = 96
DELTA > 0
x = (96^(1/2)+6)/(2*5) or x = (6-96^(1/2))/(2*5)
x = (4*6^(1/2)+6)/10 or x = (6-4*6^(1/2))/10
x in { (6-4*6^(1/2))/10, (4*6^(1/2)+6)/10}
x in { (6-4*6^(1/2))/10, (4*6^(1/2)+6)/10 }
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