Question

How do you simplify `(9-4i)/i`?

Answer 1

`-4-9i`

Explanation:

To eliminate the i from the denominator of the fraction multiply numerator and denominator by i . This will leave a real number on the denominator.

`color(orange)"Reminder" color(red)(|bar(ul(color(white)(a/a)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(a/a)|)))`

`rArr(9-4i)/i xxi/i=(i(9-4i))/i^2=(9i-4i^2)/i^2=(4+9i)/(-1)`

`rArr(9-4i)/i=-4-9i`