My algebra has failed me!

Algebra Level 4

Consider two complex numbers \(w\) and \(z\). Suppose that these two numbers satisfy

\(\begin{cases} |w|=|z| \\ |w+z|=|w-z| \end{cases}\)

Then this implies that \(w=\pm k \times z\).

What is \(|\text{Im}(k)|+|\text{Re}(k)|\)?

×

Problem Loading...

Note Loading...

Set Loading...