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11
SMT 2009 Team #11
SMT 2009 Team #11
Source:
January 23, 2022
complex numbers
algebra
Problem Statement
Let
z
1
z_1
z
1
and
z
2
z_2
z
2
be the zeros of the polynomial
f
(
x
)
=
x
2
+
6
x
+
11
f(x) = x^2 + 6x + 11
f
(
x
)
=
x
2
+
6
x
+
11
. Compute
(
1
+
z
1
2
z
2
)
(
1
+
z
1
z
2
2
)
(1 + z^2_1z_2)(1 + z_1z_2^2)
(
1
+
z
1
2
z
2
)
(
1
+
z
1
z
2
2
)
.
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