Question

Identify the quotient in the form a + bi. HELP PLEASE!!

Answer 1

OPTION C

Explanation:

To find the quotient of
`$ (5 - 8i)/(3 + 2i) $`

Multiplying and dividing by conjugate we get:

`$ (5 - 8i)/(3 + 2i) * (3 - 2i)/(3 - 2i) $`

`$ = ((5 - 8i)(3 - 2i))/(9 + 4) $`

[Since,
`$ (a + ib)(a - ib) = a^2 + b^2 $`]

`$ = (15 -10i -24i -16)/(13) $`

`$ (-1 -34i)/(13) $`

`$ = (-1)/(13) - (34i)/(13) $`

Therefore, OPTION C is the answer.