MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2024-25 IOQM India
6
IOQM P6 2024
IOQM P6 2024
Source:
September 8, 2024
Problem Statement
Find the number of triples of real numbers
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
such that
a
20
+
b
20
+
c
20
=
a
24
+
b
24
+
c
24
=
1
a^{20} + b^{20} + c^{20} = a^{24} + b^{24} + c^{24} =1
a
20
+
b
20
+
c
20
=
a
24
+
b
24
+
c
24
=
1
.
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