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Byju's Answer
Standard XII
Mathematics
Discriminant
If the cube r...
Question
If the cube root of unity are
1
,
ω
,
ω
2
,
then the roots of the equation
(
x
+
1
)
3
+
8
=
0
are
A
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B
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C
-1, -1, -1
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D
None of the above
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Solution
The correct option is
B
(
x
+
1
)
3
+
8
=
0
⇒
x
+
1
=
−
2
,
−
2
ω
,
−
2
ω
2
⇒
x
=
−
1
−
2
,
−
1
−
2
ω
,
−
1
−
2
ω
2
=
−
3
,
−
1
−
2
ω
,
−
1
−
2
ω
2
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0
Similar questions
Q.
If the cube roots of unity be
1
,
ω
,
ω
2
then the roots of the equation
(
x
−
3
)
2
+
8
=
0
are
Q.
The values of
x
which satisfies the equation
(
x
−
1
)
3
+
8
=
0
are
Q.
1,
ω
,
ω
2
are the cube roots of unity then the roots of
(
x
−
1
)
3
+
8
=
0