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Greece Junior Math Olympiad
1996 Greece Junior Math Olympiad
1
(x^2 + 2x + 1)^2+...+(x^2 +1996x + 1995)^2=0 (1996 Greece Junior p1)
(x^2 + 2x + 1)^2+...+(x^2 +1996x + 1995)^2=0 (1996 Greece Junior p1)
Source:
March 17, 2020
equation
algebra
Problem Statement
Solve the equation
(
x
2
+
2
x
+
1
)
2
+
(
x
2
+
3
x
+
2
)
2
+
(
x
2
+
4
x
+
3
)
2
+
.
.
.
+
(
x
2
+
1996
x
+
1995
)
2
=
0
(x^2 + 2x + 1)^2+(x^2 + 3x + 2)^2+(x^2 + 4x +3)^2+...+(x^2 + 1996x + 1995)^2= 0
(
x
2
+
2
x
+
1
)
2
+
(
x
2
+
3
x
+
2
)
2
+
(
x
2
+
4
x
+
3
)
2
+
...
+
(
x
2
+
1996
x
+
1995
)
2
=
0
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