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Mathematics
Mathematics
Problem
If
(
3
2
+
i
3
2
)
50
=
3
25
(
x
−
i
y
)
\left( \frac{3}{2} + \frac{i\sqrt{3}}{2} \right)^{50} = 3^{25}(x - iy)
(
2
3
+
2
i
3
)
50
=
3
25
(
x
−
i
y
)
, where
x
,
y
∈
R
x, y \in \mathbb{R}
x
,
y
∈
R
and
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, find the ordered pair of
(
x
,
y
)
(x, y)
(
x
,
y
)
.
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