MathDB
Problems
Contests
Undergraduate contests
Putnam
1952 Putnam
A3
A3
Part of
1952 Putnam
Problems
(1)
Putnam 1952 A3
Source:
5/29/2022
Develop necessary and sufficient conditions which ensure that
r
1
,
r
2
,
r
3
r_1, r_2, r_3
r
1
,
r
2
,
r
3
and
r
1
2
,
r
2
2
,
r
3
2
r_1^2, r_2^2, r_3^2
r
1
2
,
r
2
2
,
r
3
2
are simultaneously roots of the equation
x
3
+
a
x
2
+
b
x
+
c
=
0.
x^3 + ax^2 + bx + c = 0.
x
3
+
a
x
2
+
b
x
+
c
=
0.
Putnam