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Problem
Problem
The value of
a
a
a
for which the following system of equations
a
3
x
+
(
a
+
1
)
3
y
+
(
a
+
2
)
3
z
=
0
,
x
+
(
a
+
2
)
z
=
0
,
x
+
y
+
z
=
0
a^3x + (a+1)^3y + (a+2)^3z = 0, x + (a+2)z = 0, x + y + z = 0
a
3
x
+
(
a
+
1
)
3
y
+
(
a
+
2
)
3
z
=
0
,
x
+
(
a
+
2
)
z
=
0
,
x
+
y
+
z
=
0
has a non-trivial solution is equal to a. 2 b. 1 c. 0 d. -1
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