How do I find the quotient (-5+i)/(-7+i)?

Mar 4, 2018

$\frac{18 - i}{25}$

Explanation:

Multiply by the conjugate
$\frac{- 5 + i}{- 7 + i} \cdot \frac{- 7 - i}{- 7 - i} =$

$\frac{35 - 2 i - \left(- 1\right)}{49 - \left(- 1\right)} =$

$\frac{36 - 2 i}{50} =$

$\frac{18 - i}{25}$