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1970 IMO Longlists
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4
Part of
1970 IMO Longlists
Problems
(1)
System of 2 Equations - ILL 1970 - Problem 4.
Source:
5/24/2011
Solve the system of equations for variables
x
,
y
x,y
x
,
y
, where
{
a
,
b
}
∈
R
\{a,b\}\in\mathbb{R}
{
a
,
b
}
∈
R
are constants and
a
≠
0
a\neq 0
a
=
0
.
x
2
+
x
y
=
a
2
+
a
b
x^2 + xy = a^2 + ab
x
2
+
x
y
=
a
2
+
ab
y
2
+
x
y
=
a
2
−
a
b
y^2 + xy = a^2 - ab
y
2
+
x
y
=
a
2
−
ab
algebra
system of equations