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Mathematics
Mathematics
Problem
If the equation
a
x
3
+
x
+
2
=
0
ax^3 + x + 2 = 0
a
x
3
+
x
+
2
=
0
and
x
3
+
a
x
+
2
=
0
x^3 + ax + 2 = 0
x
3
+
a
x
+
2
=
0
have exactly one common root, find the value of
∣
a
∣
|a|
∣
a
∣
.
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