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1967 All Soviet Union Mathematical Olympiad
089
ASU 089 All Soviet Union MO 1967 diophantine x^2+x=y^4+y^3+y^2+y
ASU 089 All Soviet Union MO 1967 diophantine x^2+x=y^4+y^3+y^2+y
Source:
June 20, 2019
number theory
diophantine
Problem Statement
Find all the integers
x
,
y
x,y
x
,
y
satisfying equation
x
2
+
x
=
y
4
+
y
3
+
y
2
+
y
x^2+x=y^4+y^3+y^2+y
x
2
+
x
=
y
4
+
y
3
+
y
2
+
y
.
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