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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5/4)*x-(7/16) = 3/x // - 3/x
(5/4)*x-(3/x)-(7/16) = 0
(5/4)*x-3*x^-1-7/16 = 0
5/4*x^1-3*x^-1-7/16*x^0 = 0
(5/4*x^2-7/16*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(5/4*x^2-7/16*x^1-3*x^0) = 0
x^1
(5/4)*x^2+(-7/16)*x-3 = 0
(5/4)*x^2+(-7/16)*x-3 = 0
DELTA = (-7/16)^2-(-3*4*(5/4))
DELTA = 3889/256
DELTA > 0
x = ((3889/256)^(1/2)-(-7/16))/(2*(5/4)) or x = (-(-7/16)-(3889/256)^(1/2))/(2*(5/4))
x = 2/5*((3889/256)^(1/2)+7/16) or x = 2/5*(7/16-(3889/256)^(1/2))
x in { 2/5*(7/16-(3889/256)^(1/2)), 2/5*((3889/256)^(1/2)+7/16)}
x in { 2/5*(7/16-(3889/256)^(1/2)), 2/5*((3889/256)^(1/2)+7/16) }
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