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2015 BMT Spring
11
BMT 2015 Spring - Individual 11
BMT 2015 Spring - Individual 11
Source:
January 22, 2022
algebra
Problem Statement
Let
r
,
s
r, s
r
,
s
, and
t
t
t
be the three roots of the equation
8
x
3
+
1001
x
+
2008
=
0
8x^3 + 1001x + 2008 = 0
8
x
3
+
1001
x
+
2008
=
0
. Find
(
r
+
s
)
3
+
(
s
+
t
)
3
+
(
t
+
r
)
3
(r + s)^3 + (s + t)^3 + (t + r)^3
(
r
+
s
)
3
+
(
s
+
t
)
3
+
(
t
+
r
)
3
.
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