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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(3/x)-1 = 3/2 // - 3/2
5*x-(3/x)-(3/2)-1 = 0
5*x-3*x^-1-3/2-1 = 0
5*x^1-3*x^-1-5/2*x^0 = 0
(5*x^2-5/2*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-5/2*x^1-3*x^0) = 0
x^1
5*x^2+(-5/2)*x-3 = 0
5*x^2+(-5/2)*x-3 = 0
DELTA = (-5/2)^2-(-3*4*5)
DELTA = 265/4
DELTA > 0
x = ((265/4)^(1/2)-(-5/2))/(2*5) or x = (-(-5/2)-(265/4)^(1/2))/(2*5)
x = ((265/4)^(1/2)+5/2)/10 or x = (5/2-(265/4)^(1/2))/10
x in { (5/2-(265/4)^(1/2))/10, ((265/4)^(1/2)+5/2)/10}
x in { (5/2-(265/4)^(1/2))/10, ((265/4)^(1/2)+5/2)/10 }
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