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# Are they Complex?

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

Note by Sanket Biswas
2 years 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

- 2 years ago