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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(3/2)*x = 1/x-5 // - 1/x-5
(3/2)*x-(1/x)+5 = 0
(3/2)*x-x^-1+5 = 0
3/2*x^1-1*x^-1+5*x^0 = 0
(3/2*x^2+5*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(3/2*x^2+5*x^1-1*x^0) = 0
x^1
(3/2)*x^2+5*x-1 = 0
(3/2)*x^2+5*x-1 = 0
DELTA = 5^2-(-1*4*(3/2))
DELTA = 31
DELTA > 0
x = (31^(1/2)-5)/(2*(3/2)) or x = (-31^(1/2)-5)/(2*(3/2))
x = (31^(1/2)-5)/3 or x = (-(31^(1/2)+5))/3
x in { (-(31^(1/2)+5))/3, (31^(1/2)-5)/3}
x in { (-(31^(1/2)+5))/3, (31^(1/2)-5)/3 }
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