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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
1/x+4/3+1 = x+(4/3)*x+7/x+3 // - x+(4/3)*x+7/x+3
1/x-x-((4/3)*x)-(7/x)+4/3-3+1 = 0
(-4/3)*x-x+1/x-7*x^-1+4/3-3+1 = 0
-7/3*x^1-6*x^-1-2/3*x^0 = 0
(-7/3*x^2-2/3*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(-7/3*x^2-2/3*x^1-6*x^0) = 0
x^1
(-7/3)*x^2+(-2/3)*x-6 = 0
(-7/3)*x^2+(-2/3)*x-6 = 0
DELTA = (-2/3)^2-(-6*4*(-7/3))
DELTA = -500/9
DELTA < 0
x in { }
x belongs to the empty set
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