MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
47
H 47
H 47
Source:
May 25, 2007
Diophantine Equations
Problem Statement
Show that the equation
x
4
+
y
4
+
4
z
4
=
1
x^4 +y^4 +4z^4 =1
x
4
+
y
4
+
4
z
4
=
1
has infinitely many rational solutions.
Back to Problems
View on AoPS