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National and Regional Contests
Malaysia Contests
Malaysia IMONST
2020 Malaysia IMONST 1
16
16
Part of
2020 Malaysia IMONST 1
Problems
(1)
Brute Force Number Theory
Source: Malaysia IMONST 1 Senior P16
9/19/2020
Find the number of positive integer solutions
(
a
,
b
,
c
,
d
)
(a,b,c,d)
(
a
,
b
,
c
,
d
)
to the equation
(
a
2
+
b
2
)
(
c
2
ā
d
2
)
=
2020.
(a^2+b^2)(c^2-d^2)=2020.
(
a
2
+
b
2
)
(
c
2
ā
d
2
)
=
2020.
Note: The solutions
(
10
,
1
,
6
,
4
)
(10,1,6,4)
(
10
,
1
,
6
,
4
)
and
(
1
,
10
,
6
,
4
)
(1,10,6,4)
(
1
,
10
,
6
,
4
)
are considered different.
number theory
Diophantine equation