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Diophantine Equations · Simon's Favorite Factoring Trick
AIME style
●●●○○ 6/10
~5 min
⏱ 0:00
How many ordered pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfy
x
y
+
3
x
+
2
y
=
30
xy + 3x + 2y = 30
x
y
+
3
x
+
2
y
=
30
?
sfft
factoring
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