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2018 MIG
10
2018 Team #10
2018 Team #10
Source:
January 18, 2023
2018 Team
Problem Statement
Let
P
(
x
)
=
x
2
+
a
x
+
b
P(x) = x^2 + ax + b
P
(
x
)
=
x
2
+
a
x
+
b
. The two zeros of
P
P
P
,
r
1
r_1
r
1
and
r
2
r_2
r
2
, satisfy the equation
∣
r
1
2
−
r
2
2
∣
=
17
|r_1^2 -r_2^2| = 17
∣
r
1
2
−
r
2
2
∣
=
17
. Give that
a
,
b
>
1
a, b > 1
a
,
b
>
1
and are both integers, find
P
(
1
)
P(1)
P
(
1
)
.
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