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DanielleElmas [232]
3 years ago
6

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

Mathematics
1 answer:
Sergio [31]3 years ago
7 0
Remember: i² = -1

\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

Hope this helps
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