Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
z
1
,
z
2
,
z
3
z_1, z_2, z_3
z
1
,
z
2
,
z
3
are complex numbers such that
∣
z
1
∣
=
5
,
∣
z
2
∣
=
3
,
∣
z
3
∣
=
4
|z_1| = 5, |z_2| = 3, |z_3| = 4
∣
z
1
∣
=
5
,
∣
z
2
∣
=
3
,
∣
z
3
∣
=
4
, then the maximum value of
∣
z
1
−
z
2
∣
2
+
∣
z
2
−
z
3
∣
2
+
∣
z
3
−
z
1
∣
2
|z_1 - z_2|^2 + |z_2 - z_3|^2 + |z_3 - z_1|^2
∣
z
1
−
z
2
∣
2
+
∣
z
2
−
z
3
∣
2
+
∣
z
3
−
z
1
∣
2
is - - -
Browse the problem library