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Source:
September 24, 2019
algebra
Problem Statement
If
a
a
a
and
b
b
b
are the roots of
x
2
−
2
x
+
5
x^2 - 2x + 5
x
2
−
2
x
+
5
, what is
∣
a
8
+
b
8
∣
|a^8 + b^8|
∣
a
8
+
b
8
∣
?
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