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Swedish Mathematical Competition
1979 Swedish Mathematical Competition
3
3
Part of
1979 Swedish Mathematical Competition
Problems
(1)
x^{13} + 1/x^{13} as a polynomial in y = x + 1/x
Source: 1979 Swedish Mathematical Competition p3
3/26/2021
Express
x
13
+
1
x
13
x^{13} + \frac{1}{x^{13}}
x
13
+
x
13
1
ā
as a polynomial in
y
=
x
+
1
x
y = x + \frac{1}{x}
y
=
x
+
x
1
ā
.
algebra