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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x-(8/3) = (1/12)*x // - (1/12)*x
5/x-((1/12)*x)-(8/3) = 0
(-1/12)*x+5/x-8/3 = 0
5*x^-1-1/12*x^1-8/3*x^0 = 0
(5*x^0-1/12*x^2-8/3*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-1/12*x^2-8/3*x^1) = 0
x^1
(-1/12)*x^2+(-8/3)*x+5 = 0
(-1/12)*x^2+(-8/3)*x+5 = 0
DELTA = (-8/3)^2-(4*5*(-1/12))
DELTA = 79/9
DELTA > 0
x = ((79/9)^(1/2)-(-8/3))/(2*(-1/12)) or x = (-(-8/3)-(79/9)^(1/2))/(2*(-1/12))
x = -6*((79/9)^(1/2)+8/3) or x = -6*(8/3-(79/9)^(1/2))
x in { -6*((79/9)^(1/2)+8/3), -6*(8/3-(79/9)^(1/2))}
x in { -6*((79/9)^(1/2)+8/3), -6*(8/3-(79/9)^(1/2)) }
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