MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1966 All Russian Mathematical Olympiad
074
ASU 074 All Russian MO 1966 (x^2+y) and (y^2+x) perfect squares
ASU 074 All Russian MO 1966 (x^2+y) and (y^2+x) perfect squares
Source:
June 19, 2019
number theory
Perfect Square
Problem Statement
Can both
(
x
2
+
y
)
(x^2+y)
(
x
2
+
y
)
and
(
y
2
+
x
)
(y^2+x)
(
y
2
+
x
)
be exact squares for natural
x
x
x
and
y
y
y
?
Back to Problems
View on AoPS