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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(3/2)*x+5/x = (5/2)*x+4/3 // - (5/2)*x+4/3
(3/2)*x-((5/2)*x)+5/x-(4/3) = 0
(3/2)*x+(-5/2)*x+5/x-4/3 = 0
5*x^-1-1*x^1-4/3*x^0 = 0
(5*x^0-1*x^2-4/3*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-1*x^2-4/3*x^1) = 0
x^1
(-4/3)*x-x^2+5 = 0
(-4/3)*x-x^2+5 = 0
DELTA = (-4/3)^2-(-1*4*5)
DELTA = 196/9
DELTA > 0
x = ((196/9)^(1/2)-(-4/3))/(-1*2) or x = (-(-4/3)-(196/9)^(1/2))/(-1*2)
x = -3 or x = 5/3
x in { -3, 5/3}
x in { -3, 5/3 }
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