MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
Montgomery Blair
MBMT Team Rounds
2018 F9 E6
MBMT Team -- Fermat #9/Euler #6
MBMT Team -- Fermat #9/Euler #6
Source:
March 29, 2015
Problem Statement
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
.
Back to Problems
View on AoPS