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TN XII Math
>>
Complex Numbers
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Q)
If
α
and
β
are the roots of
x
2
−
2
x
+
4
=
0
. Prove that
α
n
−
β
n
=
i
2
n
+
1
s
i
n
n
π
3
and calculate
α
9
−
β
9
, where n
∈
N?
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