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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
4
−
i
{4 - \mathrm{i}}
4
−
i
is a root of the equation
z
2
+
(
−
5
+
4
i
)
z
+
(
1
−
13
i
)
,
z^2 + (- 5 + 4 \mathrm{i})z + (1 - 13 \mathrm{i}),
z
2
+
(
−
5
+
4
i
)
z
+
(
1
−
13
i
)
,
find the second root of the equation.
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