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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
−
4
−
4
i
{- 4 - 4 \mathrm{i}}
−
4
−
4
i
is a root of the equation
z
2
+
(
5
+
8
i
)
z
+
(
−
12
+
20
i
)
,
z^2 + (5 + 8 \mathrm{i})z + (- 12 + 20 \mathrm{i}),
z
2
+
(
5
+
8
i
)
z
+
(
−
12
+
20
i
)
,
find the second root of the equation.
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