5. The equation $x^{2}+1984513 x+3154891=0$
(A) has no real roots;
(B) has integer roots;
(C) has positive roots;
(D) the sum of the reciprocals of the roots is less than -1;
(E) none of the above conclusions are correct.
5. (E)

By the discriminant $\Delta>0$, rule out (A); by $\Delta$ not being a perfect square and the quadratic formula, rule out (B); by all coefficients being positive, rule out (C); by $\frac{1}{x_{1}}+\frac{1}{x_{2}}=\frac{x_{1}+x_{2}}{x_{1} x_{2}}=\frac{-1984513}{3154891}$, rule out (D).