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Question 1403b
Complex Numbers
Solving Equations Using Sum/Product of Roots
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Given that
2
−
2
i
{2 - 2 \mathrm{i}}
2
−
2
i
is a root of the equation
(
−
2
+
6
i
)
z
2
+
(
−
18
−
26
i
)
z
+
40
=
0
,
(- 2 + 6 \mathrm{i})z^2 + (- 18 - 26 \mathrm{i})z + 40=0,
(
−
2
+
6
i
)
z
2
+
(
−
18
−
26
i
)
z
+
40
=
0
,
find the second root of the equation.
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