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4
2017 Algebra #4
2017 Algebra #4
Source:
August 20, 2022
2017
Algebra Test
Problem Statement
What is the maximum possible value for the sum of the squares of the roots of
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
x^4+ax^3+bx^2+cx+d
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
where
a
a
a
,
b
b
b
,
c
c
c
, and
d
d
d
are
2
2
2
,
0
0
0
,
1
1
1
, and
7
7
7
in some order?
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