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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2/x+2 = (5/3)*x+19/9 // - (5/3)*x+19/9
2/x-((5/3)*x)-(19/9)+2 = 0
(-5/3)*x+2/x-19/9+2 = 0
2*x^-1-5/3*x^1-1/9*x^0 = 0
(2*x^0-5/3*x^2-1/9*x^1)/(x^1) = 0 // * x^2
x^1*(2*x^0-5/3*x^2-1/9*x^1) = 0
x^1
(-5/3)*x^2+(-1/9)*x+2 = 0
(-5/3)*x^2+(-1/9)*x+2 = 0
DELTA = (-1/9)^2-(2*4*(-5/3))
DELTA = 1081/81
DELTA > 0
x = ((1081/81)^(1/2)-(-1/9))/(2*(-5/3)) or x = (-(-1/9)-(1081/81)^(1/2))/(2*(-5/3))
x = -3/10*((1081/81)^(1/2)+1/9) or x = -3/10*(1/9-(1081/81)^(1/2))
x in { -3/10*((1081/81)^(1/2)+1/9), -3/10*(1/9-(1081/81)^(1/2))}
x in { -3/10*((1081/81)^(1/2)+1/9), -3/10*(1/9-(1081/81)^(1/2)) }
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