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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
10/x = (1/2)*x+38 // - (1/2)*x+38
10/x-((1/2)*x)-38 = 0
(-1/2)*x+10/x-38 = 0
10*x^-1-1/2*x^1-38*x^0 = 0
(10*x^0-1/2*x^2-38*x^1)/(x^1) = 0 // * x^2
x^1*(10*x^0-1/2*x^2-38*x^1) = 0
x^1
(-1/2)*x^2-38*x+10 = 0
(-1/2)*x^2-38*x+10 = 0
DELTA = (-38)^2-(4*10*(-1/2))
DELTA = 1464
DELTA > 0
x = (1464^(1/2)+38)/(2*(-1/2)) or x = (38-1464^(1/2))/(2*(-1/2))
x = -(2*366^(1/2)+38) or x = -(38-2*366^(1/2))
x in { -(2*366^(1/2)+38), -(38-2*366^(1/2))}
x in { -(2*366^(1/2)+38), -(38-2*366^(1/2)) }
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