No. 1!

Algebra Level 5

Let \(z\) be a complex number satisfying:

\[\color{Purple}{\huge{|z|=|z+1|=1}}\]

Also,

\(\color{Green}{\huge{z^{n}=(z+1)^{n}}}\) where \(\color{Blue}{n}\) is a positive integer.

Find the minimum value of \(\color{Red}{n}\).

×

Problem Loading...

Note Loading...

Set Loading...