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2000 Harvard-MIT Mathematics Tournament
16
16
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #16: System of linear+quintic equations
Source:
10/12/2014
Solve for real
x
,
y
x,y
x
,
y
:
x
+
y
=
2
x+y=2
x
+
y
=
2
x
5
+
y
5
=
82
x^5+y^5=82
x
5
+
y
5
=
82
quadratics