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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
2
+
i
{2 + \mathrm{i}}
2
+
i
is a root of the equation
z
2
+
(
2
−
4
i
)
z
+
(
−
11
+
2
i
)
,
z^2 + (2 - 4 \mathrm{i})z + (- 11 + 2 \mathrm{i}),
z
2
+
(
2
−
4
i
)
z
+
(
−
11
+
2
i
)
,
find the second root of the equation.
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