Question

How do you divide `(-3-7i)/(7+10i)`?

Answer 1

The value of this expression is: `-51/149-19/149i`

Explanation:

To remove imaginary part from the denominator you have to expand the fraction by the denominator's complex conjugate.

`(-3-7i)/(7+10i)xxcolor(red)((7-10i)/(7-10i))=(-51-19i)/(49+100)=(-51-19i)/149=`
`-51/149-19/149i`