Question

How do you divide `(-7-7i)/(-7-4i)`?

Answer 1

For a complex number in this form, you need to multiply the numerator and denominator by the conjugate of the denominator: `-7+4i`

Explanation:

`((-7-7i)(-7+4i))/((-7-4i)(-7+4i))`
This will have the effect of eliminating the imaginary numbers in the denominator!
`(49-28i+49i-28i^2)`=`49+28+21i` = `77+21i` for the numerator.

`49-28i+28i-16i^2` = `49+16` = 65 for the denominator.
Final answer: `(77+21i)/65`.
Some textbooks require "a+bi" form: `77/65+(21i)/65`