Question

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$\frac{2 - 4i}{3 - 5i}$
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Answer 1

Объяснение:

$\frac{2 - 4i}{3 - 5i} = \frac{(2 - 4i) \times (3+ 5i)}{(3 - 5i) \times (3 +5i)} = \frac{6 + 10i - 12i - 20i {}^{2} }{9 - 25i {}^{2} } = \frac{6 + 10i - 12i - 20 \times ( - 1)}{9 - 25 \times ( - 1)} = \frac{6 + 10i - 12i + 20}{9 + 25} = \frac{26 - 2i}{34} = \frac{2(13 - i)}{34} = \frac{13 - i}{17} = \frac{13}{17} - \frac{1}{17} i$