precious42003 precious42003

09-03-2020
Mathematics

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Determine the quotient of the complex numbers 3 + 4i and 8 - 2i, using the latter as the divisor.

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profarouk profarouk

09-03-2020

Answer:

[tex]\frac{4}{17} +\frac{19}{34}i[/tex]

Step-by-step explanation:

[tex]\frac{3+4i}{8-2i} = \frac{(3+4i)(8+2i)}{(8-2i)(8+2i)} =\frac{24+6i+32i-8}{64+4} =\frac{16+38i}{68} =\frac{4}{17} +\frac{19}{34}i[/tex]

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