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Chisinau City MO
1949-56 Chisinau City MO
47
Chisinau MO p47 1949-56 VIII-IX a^4+b^4+c^4=a^2b^2+b^2c^2+c^2a^2.
Chisinau MO p47 1949-56 VIII-IX a^4+b^4+c^4=a^2b^2+b^2c^2+c^2a^2.
Source:
March 15, 2021
algebra
geometry
Problem Statement
Determine the type of triangle if the lengths of its sides
a
,
b
,
c
a, b, c
a
,
b
,
c
satisfy the relation
a
4
+
b
4
+
c
4
=
a
2
b
2
+
b
2
c
2
+
c
2
a
2
a^4 + b^4 + c^4 = a^2b^2 + b^2c^2 + c^2a^2
a
4
+
b
4
+
c
4
=
a
2
b
2
+
b
2
c
2
+
c
2
a
2
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