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Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1976 Swedish Mathematical Competition
2
2
Part of
1976 Swedish Mathematical Competition
Problems
(1)
system x = a - y^2m y = a - x^2
Source: 1976 Swedish Mathematical Competition p2
3/26/2021
For which real
a
a
a
are there distinct reals
x
x
x
,
y
y
y
such that
{
x
=
a
−
y
2
y
=
a
−
x
2
?
\begin{cases} x = a - y^2 \\ y = a - x^2 \,\,\, ? \end {cases}
{
x
=
a
−
y
2
y
=
a
−
x
2
?
algebra
system of equations
System