Question

find the multiplicative inverse of 7 + 24i

Answer 1

HEYA!
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✴COMPLEX NUMBERS✴
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✨Multiplicative inverse ✨

$7 + 24i \\ \\ \frac{1}{7 - 24i} \times \frac{7 + 24i}{7 + 24i} \\ \\ = \frac{7 + 24i}{(7) {}^{2} - (24i) {}^{2} } \\ \\ = \frac{7 + 24i}{49 - 576i {}^{2} } \\ \\ = > now \: i {}^{2} = - 1 \\ \\ = \frac{7 + 24i}{49 + 576} \\ \\ = \frac{7 + 24i}{625}$
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