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

Note by Sanket Biswas 1 year, 1 month ago

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\(|z|^2 = 1\), 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, 1 month ago

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TopNewest\(|z|^2 = 1\), 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, 1 month ago

Log in to reply