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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5*x)/4-(3/x) = 1/4 // - 1/4
(5*x)/4-(3/x)-(1/4) = 0
(5*x)/4-3*x^-1-1/4 = 0
5/4*x^1-3*x^-1-1/4*x^0 = 0
(5/4*x^2-1/4*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(5/4*x^2-1/4*x^1-3*x^0) = 0
x^1
(5/4)*x^2+(-1/4)*x-3 = 0
(5/4)*x^2+(-1/4)*x-3 = 0
DELTA = (-1/4)^2-(-3*4*(5/4))
DELTA = 241/16
DELTA > 0
x = ((241/16)^(1/2)-(-1/4))/(2*(5/4)) or x = (-(-1/4)-(241/16)^(1/2))/(2*(5/4))
x = 2/5*((241/16)^(1/2)+1/4) or x = 2/5*(1/4-(241/16)^(1/2))
x in { 2/5*(1/4-(241/16)^(1/2)), 2/5*((241/16)^(1/2)+1/4)}
x in { 2/5*(1/4-(241/16)^(1/2)), 2/5*((241/16)^(1/2)+1/4) }
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