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VI Soros Olympiad 1999 - 2000 (Russia)
9.3
(x+\sqrt{x^2 +1} )(y+\sqrt{y^2 +1} - VI Soros Olympiad 1999-00 Round 1 9.3
(x+\sqrt{x^2 +1} )(y+\sqrt{y^2 +1} - VI Soros Olympiad 1999-00 Round 1 9.3
Source:
May 21, 2024
algebra
Problem Statement
Find
x
+
y
x + y
x
+
y
if
(
x
+
x
2
+
1
)
(
y
+
y
2
+
1
)
=
1.
(x+\sqrt{x^2 +1} )(y+\sqrt{y^2 +1} ) = 1.
(
x
+
x
2
+
1
)
(
y
+
y
2
+
1
)
=
1.
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