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Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
,
γ
\gamma
γ
are the zeroes of
x
3
−
7
x
+
2
x^3 - 7x + 2
x
3
−
7
x
+
2
; the value of
(
α
+
β
)
−
1
+
(
β
+
γ
)
−
1
+
(
γ
+
α
)
−
1
(\alpha + \beta)^{-1} + (\beta + \gamma)^{-1} + (\gamma + \alpha)^{-1}
(
α
+
β
)
−
1
+
(
β
+
γ
)
−
1
+
(
γ
+
α
)
−
1
is (1) 0 (2)
7
2
\frac{7}{2}
2
7
(3) -
7
2
\frac{7}{2}
2
7
(4) None of these
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