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2
2014 Algebra Tiebreaker #2
2014 Algebra Tiebreaker #2
Source:
July 9, 2022
2014
Algebra Tiebreaker
Problem Statement
Let
a
a
a
and
b
b
b
be the roots of the quadratic
x
2
ā
7
x
+
c
x^2-7x+c
x
2
ā
7
x
+
c
. Given that
a
2
+
b
2
=
17
a^2+b^2=17
a
2
+
b
2
=
17
, compute
c
c
c
.
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