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Mathematics
Problem
Given that the equation,
a
0
x
n
+
a
1
x
n
−
1
+
⋯
+
a
n
=
0
a_0 x^n + a_1 x^{n-1} + \dots + a_n = 0
a
0
x
n
+
a
1
x
n
−
1
+
⋯
+
a
n
=
0
,
(
n
>
3
)
(n > 3)
(
n
>
3
)
has
n
n
n
-real roots and
a
0
=
1
a_0 = 1
a
0
=
1
,
a
1
=
−
n
a_1 = -n
a
1
=
−
n
,
a
2
=
n
2
−
n
2
a_2 = \frac{n^2-n}{2}
a
2
=
2
n
2
−
n
. Find the value of
∣
a
0
+
a
1
+
a
2
+
⋯
+
a
n
∣
|a_0 + a_1 + a_2 + \dots + a_n|
∣
a
0
+
a
1
+
a
2
+
⋯
+
a
n
∣
.
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