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Czech-Polish-Slovak Match
2005 Czech-Polish-Slovak Match
6
6
Part of
2005 Czech-Polish-Slovak Match
Problems
(1)
y(x+y)=x^3-7x^2+11x-3
Source: Czech-Polish-Slovak 2005 Q6
4/27/2013
Determine all pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfying the equation
y
(
x
+
y
)
=
x
3
−
7
x
2
+
11
x
−
3.
y(x + y) = x^3- 7x^2 + 11x - 3.
y
(
x
+
y
)
=
x
3
−
7
x
2
+
11
x
−
3.
modular arithmetic
number theory
Diophantine equation
prime factorization
number theory unsolved