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Q.

Find the multiplicative inverse of $7 + 24 i$

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Detailed Solution

$Z = 7 + 24 i$ multiplicative inverse is

$\frac{1}{Z} = \frac{1}{7 + 24 i} \times \frac{7 - 24 i}{7 - 24 i} = \frac{7 - 24 i}{49 + 576} = \frac{7}{625} - \frac{24 i}{625}$

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