Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The number of real roots of the equation,
(
x
−
1
)
2
+
(
x
−
2
)
2
+
(
x
−
3
)
2
+
(
x
−
4
)
2
+
⋯
+
(
x
−
n
)
2
=
0
(x-1)^2 + (x-2)^2 + (x-3)^2 + (x-4)^2 + \dots + (x-n)^2 = 0
(
x
−
1
)
2
+
(
x
−
2
)
2
+
(
x
−
3
)
2
+
(
x
−
4
)
2
+
⋯
+
(
x
−
n
)
2
=
0
,
(
n
>
1
)
(n > 1)
(
n
>
1
)
is:
Browse the problem library