MathDB
Problems
Contests
International Contests
IMO Longlists
1970 IMO Longlists
4
System of 2 Equations - ILL 1970 - Problem 4.
System of 2 Equations - ILL 1970 - Problem 4.
Source:
May 24, 2011
algebra
system of equations
Problem Statement
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
Back to Problems
View on AoPS