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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x = (10/9)*x+1 // - (10/9)*x+1
5/x-((10/9)*x)-1 = 0
(-10/9)*x+5/x-1 = 0
5*x^-1-10/9*x^1-1*x^0 = 0
(5*x^0-10/9*x^2-1*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-10/9*x^2-1*x^1) = 0
x^1
(-10/9)*x^2-x+5 = 0
(-10/9)*x^2-x+5 = 0
DELTA = (-1)^2-(4*5*(-10/9))
DELTA = 209/9
DELTA > 0
x = ((209/9)^(1/2)+1)/(2*(-10/9)) or x = (1-(209/9)^(1/2))/(2*(-10/9))
x = -9/20*((209/9)^(1/2)+1) or x = -9/20*(1-(209/9)^(1/2))
x in { -9/20*((209/9)^(1/2)+1), -9/20*(1-(209/9)^(1/2))}
x in { -9/20*((209/9)^(1/2)+1), -9/20*(1-(209/9)^(1/2)) }
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