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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
1
−
i
{1 - \mathrm{i}}
1
−
i
is a root of the equation
(
1
−
3
i
)
z
2
+
(
−
3
−
i
)
z
+
10
=
0
,
(1 - 3 \mathrm{i})z^2 + (- 3 - \mathrm{i})z + 10=0,
(
1
−
3
i
)
z
2
+
(
−
3
−
i
)
z
+
10
=
0
,
find the second root of the equation.
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