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Byju's Answer
Standard X
Mathematics
Factor of a Polynomial
if alpha beta...
Question
if alpha beta and gamma are the roots of the equation of the equation x^3+4x+1=0 then find the value of (alpha + beta)^-1 + (alpha + gamma)^-1 + (beta + gamma)^-1
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Similar questions
Q.
If
α
,
β
,
γ
are the roots of the equation
x
3
+
p
x
2
+
q
x
+
r
=
0
, then find the value of
(
α
−
1
β
γ
)
(
β
−
1
γ
α
)
(
γ
−
1
α
β
)
.
Q.
Let
α
,
β
,
γ
are roots of the equation
x
3
+
q
x
+
q
=
0
then find the value of
(
α
+
β
)
−
1
(
β
+
γ
)
−
1
+
(
γ
+
α
)
−
1
?
Q.
If
α
,
β
,
γ
are the roots of the equation
2
x
3
−
5
x
2
+
3
x
−
1
=
0
,
then
1
α
β
+
1
β
γ
+
1
γ
α
=
Q.
If
α
,
β
,
γ
are the roots of
x
3
−
6
x
−
4
=
0
, then the equation whose roots are
β
γ
+
1
α
,
γ
α
+
1
β
,
α
β
+
1
γ
is
Q.
If
α
,
β
,
γ
are the roots of the equation
x
3
+
4
x
+
1
=
0
, then
(
α
+
β
)
−
1
+
(
β
+
γ
)
−
1
+
(
γ
+
α
)
−
1
=
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