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National and Regional Contests
PEN Problems
PEN H Problems
29
29
Part of
PEN H Problems
Problems
(1)
H 29
Source:
5/25/2007
Find all pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfying the equality
y
(
x
2
+
36
)
+
x
(
y
2
−
36
)
+
y
2
(
y
−
12
)
=
0.
y(x^{2}+36)+x(y^{2}-36)+y^{2}(y-12)=0.
y
(
x
2
+
36
)
+
x
(
y
2
−
36
)
+
y
2
(
y
−
12
)
=
0.
quadratics
algebra
quadratic formula
Diophantine Equations