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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
10*x-(5*x)-(12/x)+13/x-5-5 = 0
10*x-5*x-12*x^-1+13/x-5-5 = 0
5*x^1+1*x^-1-10*x^0 = 0
(5*x^2-10*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-10*x^1+1*x^0) = 0
x^1
5*x^2-10*x+1 = 0
5*x^2-10*x+1 = 0
DELTA = (-10)^2-(1*4*5)
DELTA = 80
DELTA > 0
x = (80^(1/2)+10)/(2*5) or x = (10-80^(1/2))/(2*5)
x = (4*5^(1/2)+10)/10 or x = (10-4*5^(1/2))/10
x in { (10-4*5^(1/2))/10, (4*5^(1/2)+10)/10}
x in { (10-4*5^(1/2))/10, (4*5^(1/2)+10)/10 }
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