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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x+5/x-3 = 4*x+(1/2)*x // - 4*x+(1/2)*x
2*x-(4*x)-((1/2)*x)+5/x-3 = 0
2*x-4*x+(-1/2)*x+5/x-3 = 0
5*x^-1-5/2*x^1-3*x^0 = 0
(5*x^0-5/2*x^2-3*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-5/2*x^2-3*x^1) = 0
x^1
(-5/2)*x^2-3*x+5 = 0
(-5/2)*x^2-3*x+5 = 0
DELTA = (-3)^2-(4*5*(-5/2))
DELTA = 59
DELTA > 0
x = (59^(1/2)+3)/(2*(-5/2)) or x = (3-59^(1/2))/(2*(-5/2))
x = (59^(1/2)+3)/(-5) or x = (3-59^(1/2))/(-5)
x in { (59^(1/2)+3)/(-5), (3-59^(1/2))/(-5)}
x in { (59^(1/2)+3)/(-5), (3-59^(1/2))/(-5) }
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