chrisprobert chrisprobert

13-07-2017
Mathematics

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Find the quotient of 5+4i/6+8i , and express it in the simplest form

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Banabanana Banabanana

13-07-2017

remember: i² = -1

[tex] \frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i[/tex]

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