WorksheetsComplex roots
Total questions: 8
Worksheet time: 10mins
Name
Class
Date
1.
How many roots does the equation
z11 - 1 =0 have?
a)
10
b)
11
c)
1
d)
0
2.
How many real solutions are there to the equation z8 - 1 =0 ?
a)
0
b)
2
c)
1
d)
8
3.
How many real solutions are there to the equation z7 -1 =0 ?
a)
2
b)
0
c)
1
d)
7
4.
One root of z6 = - 8i
is
a)
1 + i
b)
1 - i
c)
2(1 + i)
d)
2(1−i)
5.
If ω is a complex cube root of 1, then the value of
1 +ω4+ω8 isa)
0
b)
ω
c)
−ω
d)
ω2
6.
Which of the following cannot be the argument of a complex number z, such that z9 =−1 + i ?
a)
3611π
b)
12π
c)
3629π
d)
3619π
7.
One of the following is a solution to
(z + 1)4=−16
Which one?
a)
2+(2−1)i
b)
2+2i
c)
2−1+2i
d)
2−1+(2−1)i
8.
Which of the diagrams below represents the set of complex numbers z such that z3=i ?
a)
b)
c)
d)
e)
None
100 %
