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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(6/5)*x-(8/x) = 2 // - 2
(6/5)*x-(8/x)-2 = 0
(6/5)*x-8*x^-1-2 = 0
6/5*x^1-8*x^-1-2*x^0 = 0
(6/5*x^2-2*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(6/5*x^2-2*x^1-8*x^0) = 0
x^1
(6/5)*x^2-2*x-8 = 0
(6/5)*x^2-2*x-8 = 0
DELTA = (-2)^2-(-8*4*(6/5))
DELTA = 212/5
DELTA > 0
x = ((212/5)^(1/2)+2)/(2*(6/5)) or x = (2-(212/5)^(1/2))/(2*(6/5))
x = 5/12*((212/5)^(1/2)+2) or x = 5/12*(2-(212/5)^(1/2))
x in { 5/12*(2-(212/5)^(1/2)), 5/12*((212/5)^(1/2)+2)}
x in { 5/12*(2-(212/5)^(1/2)), 5/12*((212/5)^(1/2)+2) }
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