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Integration of Piecewise Continuous Functions

If iz3 + z2...

Question

If $i z^{3} + z^{2} - z + i = 0$ , then what is the value of $| z |$ .

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Solution

Put $z = i$
$\begin{matrix} i (i)^{3} + (i)^{2} - (i) + i = 0 S o, | i | = | \sqrt{- 1} | = 1 | z | = 1 \end{matrix}$

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