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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
3
−
3
i
{3 - 3 \mathrm{i}}
3
−
3
i
is a root of the equation
z
2
+
(
1
+
5
i
)
z
+
(
−
18
+
6
i
)
,
z^2 + (1 + 5 \mathrm{i})z + (- 18 + 6 \mathrm{i}),
z
2
+
(
1
+
5
i
)
z
+
(
−
18
+
6
i
)
,
find the second root of the equation.
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