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2
2006 Algebra #2: Symmetric-like System
2006 Algebra #2: Symmetric-like System
Source:
July 30, 2012
Problem Statement
Find all real solutions
(
x
,
y
)
(x,y)
(
x
,
y
)
of the system
x
2
+
y
=
12
=
y
2
+
x
x^2+y=12=y^2+x
x
2
+
y
=
12
=
y
2
+
x
.
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