Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If equation
(
z
−
(
(
−
1
−
3
)
+
(
1
+
3
)
i
)
2
2
)
n
=
1
−
(
z
2
)
n
has
\left( \frac{z - ((-1 - \sqrt{3}) + (1 + \sqrt{3})i)}{2\sqrt{2}} \right)^n = 1 - \left( \frac{z}{2} \right)^n \text{ has}
(
2
2
z
−
((
−
1
−
3
)
+
(
1
+
3
)
i
)
)
n
=
1
−
(
2
z
)
n
has
Solution, then
n
n
n
must be multiple of (A) 3 (B) 4 (C) 1 (D) 6
Browse the problem library