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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(1/x)+5 = 0
3*x-x^-1+5 = 0
3*x^1-1*x^-1+5*x^0 = 0
(3*x^2+5*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2+5*x^1-1*x^0) = 0
x^1
3*x^2+5*x-1 = 0
3*x^2+5*x-1 = 0
DELTA = 5^2-(-1*3*4)
DELTA = 37
DELTA > 0
x = (37^(1/2)-5)/(2*3) or x = (-37^(1/2)-5)/(2*3)
x = (37^(1/2)-5)/6 or x = (-(37^(1/2)+5))/6
x in { (-(37^(1/2)+5))/6, (37^(1/2)-5)/6}
x in { (-(37^(1/2)+5))/6, (37^(1/2)-5)/6 }
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