Waste less time on Facebook — follow Brilliant.

Are they Complex?

Find all complex numbers \(z\) such that \( |z| = \left | \dfrac1z \right | \).

Note by Sanket Biswas
1 year, 8 months ago

No vote yet
1 vote


Sort by:

Top Newest

\(|z|^2 = 1\), but since the absolute value cannot be negative, then \(|z| = 1\). Here, any complex number (except zero) that can be written in the form of

\[z = cos(x)+isin(x)\]

will satisfy the condition

Kay Xspre - 1 year, 8 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...