Find all complex numbers \(z\) such that \( |z| = \left | \dfrac1z \right | \).
1 year, 8 months ago
\(|z|^2 = 1\), 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
Log in to reply