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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
(
6
−
2
i
)
z
2
+
(
−
26
+
2
i
)
z
+
40
=
0
,
(6 - 2 \mathrm{i})z^2 + (- 26 + 2 \mathrm{i})z + 40=0,
(
6
−
2
i
)
z
2
+
(
−
26
+
2
i
)
z
+
40
=
0
,
find the second root of the equation.
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