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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(7/6)*x = 5/x+3 // - 5/x+3
(7/6)*x-(5/x)-3 = 0
(7/6)*x-5*x^-1-3 = 0
7/6*x^1-5*x^-1-3*x^0 = 0
(7/6*x^2-3*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(7/6*x^2-3*x^1-5*x^0) = 0
x^1
(7/6)*x^2-3*x-5 = 0
(7/6)*x^2-3*x-5 = 0
DELTA = (-3)^2-(-5*4*(7/6))
DELTA = 97/3
DELTA > 0
x = ((97/3)^(1/2)+3)/(2*(7/6)) or x = (3-(97/3)^(1/2))/(2*(7/6))
x = 3/7*((97/3)^(1/2)+3) or x = 3/7*(3-(97/3)^(1/2))
x in { 3/7*(3-(97/3)^(1/2)), 3/7*((97/3)^(1/2)+3)}
x in { 3/7*(3-(97/3)^(1/2)), 3/7*((97/3)^(1/2)+3) }
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