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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
10/x = (3/2)*x+34 // - (3/2)*x+34
10/x-((3/2)*x)-34 = 0
(-3/2)*x+10/x-34 = 0
10*x^-1-3/2*x^1-34*x^0 = 0
(10*x^0-3/2*x^2-34*x^1)/(x^1) = 0 // * x^2
x^1*(10*x^0-3/2*x^2-34*x^1) = 0
x^1
(-3/2)*x^2-34*x+10 = 0
(-3/2)*x^2-34*x+10 = 0
DELTA = (-34)^2-(4*10*(-3/2))
DELTA = 1216
DELTA > 0
x = (1216^(1/2)+34)/(2*(-3/2)) or x = (34-1216^(1/2))/(2*(-3/2))
x = (8*19^(1/2)+34)/(-3) or x = (34-8*19^(1/2))/(-3)
x in { (8*19^(1/2)+34)/(-3), (34-8*19^(1/2))/(-3)}
x in { (8*19^(1/2)+34)/(-3), (34-8*19^(1/2))/(-3) }
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