Question

Divide the following complex numbers: (4-i)/(3+4i) ??

Answer 1

CHOOSE D

Explanation:

Answer 2

Given :
`((4 - i))/((3 + 4i))`

Multiplying and Dividing with (3 - 4i)

`\implies((4 - i)(3 - 4i))/((3 + 4i)(3 - 4i))`

`\implies ((12 - 16i + 4i^2 - 3i))/((9 - 16i^2))`

We know that i² = -1

`\implies ((12 - 19i - 4))/((9 + 16))`

`\implies (8 - 19i)/(25)`

`\implies (8)/(25) - (19)/(25)i`

Option D is the Answer