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Problem
Problem
If
x
x
x
and
y
y
y
are non-zero real numbers satisfying
x
y
(
x
2
−
y
2
)
=
x
2
+
y
2
xy(x^2 - y^2) = x^2 + y^2
x
y
(
x
2
−
y
2
)
=
x
2
+
y
2
, then find the minimum value of
x
2
+
y
2
x^2 + y^2
x
2
+
y
2
.
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