Problem

Divide the following complex numbers: \( \frac{2+i}{3-2 i} \)
Select one:
\( \frac{4+7 i}{13} \)
\( \frac{8+7 i}{13} \)
\( \frac{4+7 i}{5} \)
\( \frac{8+7 i}{5} \)

Answer

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Hide Steps

Answer

\(\frac{4+7i}{13}\)

Steps

Step 1 ：\(\frac{2+i}{3-2i} \cdot \frac{3+2i}{3+2i}\)

Step 2 ：\(\frac{(2+i)(3+2i)}{(3-2i)(3+2i)}\)

Step 3 ：\(\frac{4+7i}{13}\)

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