Question 903772

4-3i/-1-4i
<pre>
I'd assume this to be: {{{(4 - 3i)/(- 1 - 4i)}}}
{{{((4 - 3i)(- 1 + 4i))/((- 1 - 4i)(- 1 + 4i))}}} ------ Multiplying denominator by its congugate
{{{(- 4 + 19i - 12i^2)/(1 - 16i^2)}}}
{{{(- 4 + 19i - 12(- 1))/(1 - 16(- 1))}}} ------ Substituting - 1 for {{{i^2}}}
{{{(- 4 + 19i + 12)/(1 + 16)}}}
{{{(8 + 19i)/17}}}, or {{{highlight_green(highlight_green(8/17 + (19/17)i))}}}