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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2/x+4 = (5/2)*x+25/6 // - (5/2)*x+25/6
2/x-((5/2)*x)-(25/6)+4 = 0
(-5/2)*x+2/x-25/6+4 = 0
2*x^-1-5/2*x^1-1/6*x^0 = 0
(2*x^0-5/2*x^2-1/6*x^1)/(x^1) = 0 // * x^2
x^1*(2*x^0-5/2*x^2-1/6*x^1) = 0
x^1
(-5/2)*x^2+(-1/6)*x+2 = 0
(-5/2)*x^2+(-1/6)*x+2 = 0
DELTA = (-1/6)^2-(2*4*(-5/2))
DELTA = 721/36
DELTA > 0
x = ((721/36)^(1/2)-(-1/6))/(2*(-5/2)) or x = (-(-1/6)-(721/36)^(1/2))/(2*(-5/2))
x = ((721/36)^(1/2)+1/6)/(-5) or x = (1/6-(721/36)^(1/2))/(-5)
x in { ((721/36)^(1/2)+1/6)/(-5), (1/6-(721/36)^(1/2))/(-5)}
x in { ((721/36)^(1/2)+1/6)/(-5), (1/6-(721/36)^(1/2))/(-5) }
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