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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
10/x = 45-(5*x) // - 45-(5*x)
5*x+10/x-45 = 0
5*x^1+10*x^-1-45*x^0 = 0
(5*x^2-45*x^1+10*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-45*x^1+10*x^0) = 0
x^1
5*x^2-45*x+10 = 0
5*x^2-45*x+10 = 0
DELTA = (-45)^2-(4*5*10)
DELTA = 1825
DELTA > 0
x = (1825^(1/2)+45)/(2*5) or x = (45-1825^(1/2))/(2*5)
x = (5*73^(1/2)+45)/10 or x = (45-5*73^(1/2))/10
x in { (45-5*73^(1/2))/10, (5*73^(1/2)+45)/10}
x in { (45-5*73^(1/2))/10, (5*73^(1/2)+45)/10 }
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