MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
12
12
Part of
PEN H Problems
Problems
(1)
H 12
Source:
5/25/2007
Find all
(
x
,
y
,
z
)
∈
N
3
(x,y,z) \in {\mathbb{N}}^3
(
x
,
y
,
z
)
∈
N
3
such that
x
4
−
y
4
=
z
2
x^{4}-y^{4}=z^{2}
x
4
−
y
4
=
z
2
.
number theory
relatively prime
Diophantine Equations