Math Pro
about
qns
questions
progress
Question 1410b
Complex Numbers
2010 Paper 2 Question 1 Variant
Question
Generate new
(a)
Solve the equation
x
2
+
4
x
+
5
=
0.
{x^2 + 4 x + 5=0.}
x
2
+
4
x
+
5
=
0.
[2]
(b)
One root of the equation
x
4
+
x
3
+
9
x
2
+
a
x
+
b
=
0
,
x^4 + x^3 + 9 x^2 + ax + b=0,
x
4
+
x
3
+
9
x
2
+
a
x
+
b
=
0
,
where
a
{a}
a
and
b
{b}
b
are real, is
x
=
−
1
+
4
i
.
{x=- 1 + 4 \mathrm{i}.}
x
=
−
1
+
4
i
.
Find the values of
a
{a}
a
and
b
{b}
b
and the other roots.
[5]
Answer
Back to top ▲
about
questions
progress