MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1997 All-Russian Olympiad
1
Find integer solutions of the equation (x^2 - y^2)^2=1+16y
Find integer solutions of the equation (x^2 - y^2)^2=1+16y
Source: ARMO 1997, 10.1
April 20, 2013
modular arithmetic
number theory proposed
number theory
Problem Statement
Find all integer solutions of the equation
(
x
2
ā
y
2
)
2
=
1
+
16
y
(x^2 - y^2)^2 = 1 + 16y
(
x
2
ā
y
2
)
2
=
1
+
16
y
. M. Sonkin
Back to Problems
View on AoPS