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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be the roots of the equation
x
2
+
(
2
i
−
1
)
=
0
x^2 + (2i - 1) = 0
x
2
+
(
2
i
−
1
)
=
0
. Then, the value of
∣
α
8
+
β
8
∣
|\alpha^8 + \beta^8|
∣
α
8
+
β
8
∣
is equal to (a) 50 (b) 250 (c) 1250 (d) 1500
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