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1
Solve the equation x^3y^2(2y - x) = x^2y^4-36
Solve the equation x^3y^2(2y - x) = x^2y^4-36
Source: Greek Mathematical Olympiad 2011 - P1
May 13, 2011
number theory unsolved
number theory
Problem Statement
Solve in integers the equation
x
3
y
2
(
2
y
−
x
)
=
x
2
y
4
−
36
{x^3}{y^2}\left( {2y - x} \right) = {x^2}{y^4} - 36
x
3
y
2
(
2
y
−
x
)
=
x
2
y
4
−
36
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