Question

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

Answer 1

Answer:

OPTION C

Step-by-step explanation:

To find the quotient of $\frac{5 - 8i}{3 + 2i}$

Multiplying and dividing by conjugate we get:

$\frac{5 - 8i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i}$

$= \frac{(5 - 8i)(3 - 2i)}{9 + 4}$

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

$= \frac{15 -10i -24i -16}{13}$

$\frac{-1 -34i}{13}$

$= \frac{-1}{13} - \frac{34i}{13}$

Therefore, OPTION C is the answer.