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Mathematics
Mathematics
Problem
If
α
\alpha
α
and
β
\beta
β
be the roots of the equation
x
2
−
2
x
+
2
=
0
x^2 - 2x + 2 = 0
x
2
−
2
x
+
2
=
0
, then the least value of
n
n
n
for which
(
α
β
)
n
=
1
\left(\frac{\alpha}{\beta}\right)^n = 1
(
β
α
)
n
=
1
is
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