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MBMT Team Rounds
2018 F9 E6
2018 F9 E6
Part of
MBMT Team Rounds
Problems
(1)
MBMT Team -- Fermat #9/Euler #6
Source:
3/29/2015
If
x
+
y
=
3
x + y = 3
x
+
y
=
3
and
x
2
+
y
2
=
7
x^2 + y^2 = 7
x
2
+
y
2
=
7
, compute
x
3
+
y
3
+
x
4
+
y
4
x^3 + y^3 + x^4 + y^4
x
3
+
y
3
+
x
4
+
y
4
.