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2018 MOAA
2
2018 MOAA Team P2
2018 MOAA Team P2
Source:
January 23, 2022
algebra
team
2018
Problem Statement
If
x
>
0
x > 0
x
>
0
and
x
2
+
1
x
2
=
14
x^2 +\frac{1}{x^2}= 14
x
2
+
x
2
1
ā
=
14
, find
x
5
+
1
x
5
x^5 +\frac{1}{x^5}
x
5
+
x
5
1
ā
.
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