Divide Complex Numbers
Divide and express the result in standard form.
-$\frac { 6 } { 2 - i }$
A) $\frac { 12 } { 5 } + \frac { 6 } { 5 } \mathrm { i }$
B) $\frac { 12 } { 5 } - \frac { 6 } { 5 } \mathrm { i }$
C) $4 + 2 i$
D) $4 - 2 \mathrm { i }$

Question

Quizplus · Accepted Answer

To divide complex numbers, multiply the numerator and denominator by the complex conjugate of the denominator. The complex conjugate of $2 - i$ is $2 + i$.$\frac { 6 } { 2 - i } = \frac { 6 } { 2 - i } \cdot \frac { 2 + i } { 2 + i } = \frac { 6 ( 2 + i ) } { 2^2 - i^2 } = \frac { 12 + 6 i } { 5 } = \frac { 12 } { 5 } + \frac { 6 } { 5 } \mathrm { i }$

Divide Complex Numbers Divide and Express the Result in Standard 62−i\frac { 6 } { 2 - i }2−i6​

Divide Complex Numbers
Divide and Express the Result in Standard $\frac { 6 } { 2 - i }$