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Byju's Answer
Standard X
Mathematics
Geometric Progression
If α, β and...
Question
If
α
,
β
and
γ
are roots of the cubic equation
x
3
+
3
x
2
+
3
x
+
2
=
0
, then the value of
(
α
+
β
+
γ
)
, is:
A
−
3
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B
0
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C
3
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D
9
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Solution
The correct option is
A
−
3
As
α
,
β
,
γ
are roots of
x
3
+
3
x
2
+
3
x
+
2
=
0
Then
s
1
=
α
+
β
+
γ
=
−
3
Suggest Corrections
0
Similar questions
Q.
Given that
α
,
β
,
γ
are the roots of cubic equation
x
3
−
3
x
2
+
2
x
+
2
3
=
0
the value of
α
4
+
β
4
+
γ
4
is equal to
Q.
If
α
,
β
,
γ
are the roots of
x
3
+
3
x
2
+
2
=
0
then find the equation whose roots are
α
β
+
γ
,
β
γ
+
α
,
γ
α
+
β
Q.
Suppose
α
,
β
,
γ
are roots of
x
3
+
x
2
+
2
x
+
3
=
0
. If
f
(
x
)
=
0
is a cubic polynomial equation whose roots are
α
+
β
,
β
+
γ
,
γ
+
α
then
f
(
x
)
=
Q.
If
α
,
β
&
γ
are the roots of the equation
x
3
−
x
−
1
=
0
then the value of,
1
+
α
1
−
α
+
1
+
β
1
−
β
+
1
+
γ
1
−
γ
is
Q.
If
α
,
β
,
γ
are roots of
x
3
−
3
x
2
+
3
x
+
26
=
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and
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is cube roots of unity then the value of
α
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1
β
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