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Mathematics
Mathematics
Problem
How many different triples of numbers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
satisfy the equation
a
2
+
b
c
=
b
2
+
a
c
a^2 + bc = b^2 + ac
a
2
+
b
c
=
b
2
+
a
c
, if
a
a
a
,
b
b
b
, and
c
c
c
are integers from 1 to 5, inclusive? (The numbers
a
a
a
,
b
b
b
, and
c
c
c
are not necessarily different.)
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