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Mathematics
Mathematics
Problem
If the roots of
a
x
3
+
b
x
2
+
c
x
+
d
=
0
ax^3 + bx^2 + cx + d = 0
a
x
3
+
b
x
2
+
c
x
+
d
=
0
are
α
\alpha
α
,
β
\beta
β
,
γ
\gamma
γ
then find equation whose roots are
1
α
β
,
1
β
γ
,
1
γ
α
.
\frac{1}{\alpha\beta}, \frac{1}{\beta\gamma}, \frac{1}{\gamma\alpha}.
α
β
1
,
β
γ
1
,
γ
α
1
.
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