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2023 MOAA
5
2023 MOAA Speed P5
2023 MOAA Speed P5
Source:
October 13, 2023
MOAA 2023
Problem Statement
Let
P
(
x
)
P(x)
P
(
x
)
be a nonzero quadratic polynomial such that
P
(
1
)
=
P
(
2
)
=
0
P(1) = P(2) = 0
P
(
1
)
=
P
(
2
)
=
0
. Given that
P
(
3
)
2
=
P
(
4
)
+
P
(
5
)
P(3)^2 = P(4)+P(5)
P
(
3
)
2
=
P
(
4
)
+
P
(
5
)
, find
P
(
6
)
P(6)
P
(
6
)
.Proposed by Andy Xu
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