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1991 Iran MO (2nd round)
1
On the equation x+x^2=y+y^2+y^3 [Iran Second Round 1991]
On the equation x+x^2=y+y^2+y^3 [Iran Second Round 1991]
Source:
November 29, 2010
number theory proposed
number theory
Problem Statement
Prove that the equation
x
+
x
2
=
y
+
y
2
+
y
3
x+x^2=y+y^2+y^3
x
+
x
2
=
y
+
y
2
+
y
3
do not have any solutions in positive integers.
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