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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3/x+2 = (5/3)*x+13/6 // - (5/3)*x+13/6
3/x-((5/3)*x)-(13/6)+2 = 0
(-5/3)*x+3/x-13/6+2 = 0
3*x^-1-5/3*x^1-1/6*x^0 = 0
(3*x^0-5/3*x^2-1/6*x^1)/(x^1) = 0 // * x^2
x^1*(3*x^0-5/3*x^2-1/6*x^1) = 0
x^1
(-5/3)*x^2+(-1/6)*x+3 = 0
(-5/3)*x^2+(-1/6)*x+3 = 0
DELTA = (-1/6)^2-(3*4*(-5/3))
DELTA = 721/36
DELTA > 0
x = ((721/36)^(1/2)-(-1/6))/(2*(-5/3)) or x = (-(-1/6)-(721/36)^(1/2))/(2*(-5/3))
x = -3/10*((721/36)^(1/2)+1/6) or x = -3/10*(1/6-(721/36)^(1/2))
x in { -3/10*((721/36)^(1/2)+1/6), -3/10*(1/6-(721/36)^(1/2))}
x in { -3/10*((721/36)^(1/2)+1/6), -3/10*(1/6-(721/36)^(1/2)) }
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