MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Polish MO Finals
1951 Polish MO Finals
4
4
Part of
1951 Polish MO Finals
Problems
(1)
x^3 - ax^2 + bx - c = 0
Source: Polish MO Finals 1951 p4
8/28/2024
Determine the coefficients 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
in such a way that the roots of this equation are the numbers
a
a
a
,
b
b
b
,
c
c
c
.
algebra
polynomial