Posted by
**Tiny** on
.

Suppose p and q are odd integers.

(a) Show that the quadratic equation x2 + px + q = 0 has no rational roots.

(A number á is a “root” of that equation if: á2 + pá + q = 0. A number is rational if it is expressible as

m/n for some integers m and n. )

(b) Does this result generalize to equations of the type xn + px + q = 0 ?