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2020 BMT Fall
14
2020 BMT Individual 14
2020 BMT Individual 14
Source:
January 9, 2022
algebra
Problem Statement
Let
B
,
M
B, M
B
,
M
, and
T
T
T
be the three roots of the equation
x
3
+
20
x
2
−
18
x
−
19
=
0
x^3 + 20x^2 -18x-19 = 0
x
3
+
20
x
2
−
18
x
−
19
=
0
. What is the value of
∣
(
B
+
1
)
(
M
+
1
)
(
T
+
1
)
∣
|(B + 1)(M + 1)(T + 1)|
∣
(
B
+
1
)
(
M
+
1
)
(
T
+
1
)
∣
?
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