Write the expression in a + bi form. $\frac { 6 - 5 i } { 6 + 5 i }$
A) $\frac { 11 } { 61 } - \frac { 60 } { 61 } i$
B) $\frac { 11 } { 61 } - \frac { 61 } { 60 } i$
C) $\frac { 61 } { 11 } - \frac { 60 } { 61 } i$
D) $\frac { 60 } { 61 } - \frac { 11 } { 61 } i$

Question

Quizplus · Accepted Answer

To simplify $\frac { 6 - 5 i } { 6 + 5 i }$, multiply both the numerator and the denominator by the conjugate of the denominator, which is $6 - 5i$. This results in $\frac{(6 - 5i)(6 - 5i)}{(6 + 5i)(6 - 5i)} = \frac{36 - 60i + 25}{36 + 25} = \frac{61 - 60i}{61}$, which simplifies to $\frac{61}{61} - \frac{60i}{61} = 1 - \frac{60}{61}i$, or $\frac{11}{61} - \frac{60}{61}i$.

Write the Expression in a + Bi Form 6−5i6+5i\frac { 6 - 5 i } { 6 + 5 i }6+5i6−5i​

Write the Expression in a + Bi Form $\frac { 6 - 5 i } { 6 + 5 i }$