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23-03-2020
Mathematics

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Write the quotient in the a + bi form: (12 - i) ÷ (8 - 4i)

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sqdancefan sqdancefan

23-03-2020

Answer:

1.25 +0.5i

Step-by-step explanation:

[tex]\dfrac{12-i}{8-4i}=\dfrac{(12-i)(8+4i)}{(8-4i)(8+4i)}=\dfrac{96+40i-4i^2}{8^2-(4i)^2}\\\\=\dfrac{100+40i}{64+16}=\boxed{1.25+0.5i}[/tex]

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