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Balkan MO
1987 Balkan MO
2
2
Part of
1987 Balkan MO
Problems
(1)
find x,y \geq 1
Source: bmo 1987
4/23/2007
Find all real numbers
x
,
y
x,y
x
,
y
greater than
1
1
1
, satisfying the condition that the numbers
x
−
1
+
y
−
1
\sqrt{x-1}+\sqrt{y-1}
x
−
1
+
y
−
1
and
x
+
1
+
y
+
1
\sqrt{x+1}+\sqrt{y+1}
x
+
1
+
y
+
1
are nonconsecutive integers.
function
algebra proposed
algebra