Find the quotient. Write the answer in standard form.
-$$\frac { 2 - 6 i } { 8 + 2 i }$$
A) $\frac { 7 } { 15 } + \frac { 13 } { 60 } \mathrm { i }$

B) $\frac { 1 } { 17 } - \frac { 13 } { 17 }$ i

C) $\frac { 1 } { 60 } + \frac { 13 } { 60 } \mathrm { i }$

D) $\frac { 28 } { 17 } + \frac { 44 } { 17 } \mathrm { i }$

Question

Find the quotient. Write the answer in standard form.
-$$\frac { 2 - 6 i } { 8 + 2 i }$$
A) $\frac { 7 } { 15 } + \frac { 13 } { 60 } \mathrm { i }$

B) $\frac { 1 } { 17 } - \frac { 13 } { 17 }$ i

C) $\frac { 1 } { 60 } + \frac { 13 } { 60 } \mathrm { i }$

D) $\frac { 28 } { 17 } + \frac { 44 } { 17 } \mathrm { i }$

Quizplus · Accepted Answer

To divide complex numbers, multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of $8 + 2i$ is $8 - 2i$. After simplification, the quotient is $\frac { 1 } { 17 } - \frac { 13 } { 17 }$ i.

Find the Quotient 2−6i8+2i\frac { 2 - 6 i } { 8 + 2 i }8+2i2−6i​

Find the Quotient $\frac { 2 - 6 i } { 8 + 2 i }$