Posted by **Tiny** on Thursday, April 15, 2010 at 3:56am.

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 ?

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