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Polish MO Finals
1955 Polish MO Finals
1
1
Part of
1955 Polish MO Finals
Problems
(1)
x^3 + ax^2 + bx + c = 0
Source: Polish MO Finals 1955 p1
8/29/2024
What conditions must the real numbers
a
a
a
,
b
b
b
, and
c
c
c
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 distinct real roots forming a geometric progression?
algebra
polynomial