ΘΕΜΑΤΑ
1. Compute the minimum possible value of For real values
2. Find all real values of
3. Express
list all possibilities for the ordered triple
.
5. The quartic (4th-degree) polynomial P(x) satisfies
and attains its maximum value of
at both
and
. Compute
.
6. There exist two triples of real numbers
such that
are the roots to the cubic equation
listed in increasing order. Denote those
and
. If
,
, and
are the roots to monic cubic polynomial
and
, and
are the roots to monic cubic polynomial
, find
.
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