The multiplicative inverse of 3 - 4i4 - 5i is

The correct option is B ( 825, 3125 ) MI = 4 5i3 + 4i = (4 5i)(3 4i)9 + 16 = 8 31i25 ...

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Complex Numbers

The multiplic...

Question

The multiplicative inverse of $\frac{3 + 4 i}{4 - 5 i}$ is

(\frac{- 8}{25}, \frac{31}{25})

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(\frac{- 8}{25}, \frac{- 31}{25})

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(\frac{8}{25}, \frac{- 31}{25})

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(\frac{- 8}{25}, \frac{31}{5})

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Solution

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3^{1 / 4} \times 5^{1 / 4}

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\frac{5}{8}

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\frac{17}{25}

(i)

7

10

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20

18

25

17

(i i)

3

5

9

2

8

7

6

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(i i i)

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42

31

46

25

27

30

32

41

\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}

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