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All-Russian Olympiad Regional Round
1996 All-Russian Olympiad Regional Round
9.1
9.1
Part of
1996 All-Russian Olympiad Regional Round
Problems
(1)
x^2 + ax + b, x^2 + cx + d - All-Russian MO 1996 Regional (R4) 9.1
Source:
9/23/2024
Find all pairs of square trinomials
x
2
+
a
x
+
b
x^2 + ax + b
x
2
+
a
x
+
b
,
x
2
+
c
x
+
d
x^2 + cx + d
x
2
+
c
x
+
d
such that
a
a
a
and
b
b
b
are the roots of the second trinomial,
c
c
c
and
d
d
d
are the roots of the first.
algebra
trinomial