Write the quotient in standard form. $\frac { 11 } { 1 - i }$
A) $\frac { 11 } { 2 + i }$
B) $\frac { 11 } { 2 } i$
C) $\frac { 11 } { 2 - i }$
D) $\frac { 11 } { 2 } + \frac { 11 } { 2 } i$
E) $\frac { 11 } { 2 } - \frac { 11 } { 2 } i$

Question

Write the quotient in standard form.​ $\frac { 11 } { 1 - i }$ ​
A)​ $\frac { 11 } { 2 + i }$
B)​ $\frac { 11 } { 2 } i$
C)​ $\frac { 11 } { 2 - i }$
D)​ $\frac { 11 } { 2 } + \frac { 11 } { 2 } i$
E)​ $\frac { 11 } { 2 } - \frac { 11 } { 2 } i$

Quizplus · Accepted Answer

To write the quotient in standard form, multiply the numerator and denominator by the conjugate of the denominator: $\frac{11}{1-i} \cdot \frac{1+i}{1+i} = \frac{11(1+i)}{1+1} = \frac{11}{2} + \frac{11}{2}i$.

Write the Quotient in Standard Form 111−i\frac { 11 } { 1 - i }1−i11​

Write the Quotient in Standard Form $\frac { 11 } { 1 - i }$