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2018 PUMaC Live Round
1.1
2018 PUMaC Live Round Live Round 1.1
2018 PUMaC Live Round Live Round 1.1
Source:
January 13, 2019
PuMAC
Live Round
Problem Statement
Find the number of pairs of real numbers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
4
+
y
4
=
4
x
y
ā
2
x^4+y^4=4xy-2
x
4
+
y
4
=
4
x
y
ā
2
.
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