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Question 1421b
Complex Numbers
2021 Paper 2 Question 1 Variant
Question
Generate new
One of the roots of the equation
x
3
+
2
x
2
+
a
x
+
b
=
0
,
x^3 + 2 x^2 + ax + b = 0,
x
3
+
2
x
2
+
a
x
+
b
=
0
,
where
a
{a}
a
and
b
{b}
b
are real, is
−
3
+
1
2
i
.
{- 3 + \frac{1}{2} \mathrm{i}.}
−
3
+
2
1
i
.
Find the other roots of the equations and the values of
a
{a}
a
and
b
.
{b.}
b
.
[5]
Answer
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