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Tournament Of Towns
2000 Tournament Of Towns
1
TOT 2000 Spring AJ1 (x+1)^{21}+(x+1)^{20}(x-1)+...+(x-1)^{21}=0
TOT 2000 Spring AJ1 (x+1)^{21}+(x+1)^{20}(x-1)+...+(x-1)^{21}=0
Source:
May 10, 2020
algebra
equation
Problem Statement
Determine all real numbers that satisfy the equation
(
x
+
1
)
21
+
(
x
+
1
)
20
(
x
−
1
)
+
(
x
+
1
)
19
(
x
−
1
)
2
+
.
.
.
+
(
x
−
1
)
21
=
0
(x+1)^{21}+(x+1)^{20}(x-1)+(x+1)^{19}(x-1)^2+...+(x-1)^{21}=0
(
x
+
1
)
21
+
(
x
+
1
)
20
(
x
−
1
)
+
(
x
+
1
)
19
(
x
−
1
)
2
+
...
+
(
x
−
1
)
21
=
0
(RM Kuznec)
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