Let \(a\), \(b\), and \(c\) be **distinct** complex numbers such that

\[\frac { a }{ 1-b } =\frac { b }{ 1-c } =\frac { c }{ 1-a } = k\]

where \(k\) is a complex number.

Find the sum of all values of \(k\).

×

Problem Loading...

Note Loading...

Set Loading...