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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
−
2
+
3
i
{- 2 + 3 \mathrm{i}}
−
2
+
3
i
is a root of the equation
z
2
+
(
7
+
2
i
)
z
+
(
25
−
5
i
)
,
z^2 + (7 + 2 \mathrm{i})z + (25 - 5 \mathrm{i}),
z
2
+
(
7
+
2
i
)
z
+
(
25
−
5
i
)
,
find the second root of the equation.
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