1983 AHSME Problems/Problem 20
Problem 20
If and
are the roots of
, and
and
are the roots of
, then
is necessarily
Solution
By Vieta's Formulas, we have and
. Recalling that
, we have
.
By Vieta's Formulas, we have and
. Recalling that
, we have
. Using
and
, we get that
, which yields a product of
.
Thus, the answer is