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Poland - Second Round
1952 Poland - Second Round
1
1
Part of
1952 Poland - Second Round
Problems
(1)
x^3 + ax^2 + bx + c = 0
Source: Polish MO second round 1952 p1
8/28/2024
Find the necessary and sufficient conditions that the real numbers
a
a
a
,
b
b
b
,
c
c
c
should satisfy so that 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
has three real roots creating an arithmetic progression.
algebra
polynomial