Find the quotient. Write the answer in standard form.
-$$\frac { 5 - 5 i } { 4 + 2 i }$$
A) $\frac { 1 } { 2 } - \frac { 3 } { 2 } i$
B) $15 + 5 i$
C) $\frac { 5 } { 2 } + \frac { 1 } { 4 } i$
D) $\frac { 1 } { 12 } + \frac { 1 } { 4 } \mathrm { i }$

Question

Quizplus · Accepted Answer

To divide complex numbers, you multiply the numerator and denominator by the conjugate of the denominator. The conjugate of $4 + 2i$ is $4 - 2i$. So, we have:$$\frac{5 - 5i}{4 + 2i} \times \frac{4 - 2i}{4 - 2i} = \frac{(5 - 5i)(4 - 2i)}{16 + 4} = \frac{20 - 10i - 20i + 10}{20} = \frac{30 - 30i}{20} = \frac{3}{2} - \frac{3}{2}i$$

Find the Quotient 5−5i4+2i\frac { 5 - 5 i } { 4 + 2 i }4+2i5−5i​

Find the Quotient $\frac { 5 - 5 i } { 4 + 2 i }$