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Putnam
Putnam 1939
A3
A3
Part of
Putnam 1939
Problems
(1)
Putnam 1939 A3
Source:
8/20/2021
The roots of
x
3
+
a
x
2
+
b
x
+
c
=
0
x^3 + a x^2 + b x + c = 0
x
3
+
a
x
2
+
b
x
+
c
=
0
are
α
,
β
\alpha, \beta
α
,
β
and
γ
.
\gamma.
γ
.
Find the cubic whose roots are
α
3
,
β
3
,
γ
3
.
\alpha^3, \beta^3, \gamma^3.
α
3
,
β
3
,
γ
3
.
Putnam