MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
11
11
Part of
2015 India PRMO
Problems
(1)
PRMO 2015. p11.
Source:
4/9/2024
11.
11.
11.
Let
a
,
a,
a
,
b
,
b,
b
,
and
c
c
c
be real numbers such that
a
−
7
b
+
8
c
=
4.
a-7b+8c=4.
a
−
7
b
+
8
c
=
4.
and
8
a
+
4
b
−
c
=
7.
8a+4b-c=7.
8
a
+
4
b
−
c
=
7.
What is the value of
a
2
−
b
2
+
c
2
?
a^2-b^2+c^2 ?
a
2
−
b
2
+
c
2
?
number theory
algebra
Diophantine equation
Integers