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1935 Moscow Mathematical Olympiad
016
MMO 016 Moscow MO 1935 system x+y=2 , xy - z^2 = 1
MMO 016 Moscow MO 1935 system x+y=2 , xy - z^2 = 1
Source:
July 17, 2019
system of equations
algebra
Problem Statement
How many real solutions does the following system have ?
{
x
+
y
=
2
x
y
−
z
2
=
1
\begin{cases} x+y=2 \\ xy - z^2 = 1 \end{cases}
{
x
+
y
=
2
x
y
−
z
2
=
1
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