Find the following quotient.
(4-7i)/(4+7i)
multiply by the conjugate of the denominator, that is, by (4-7i)/(4-7i)
(4-7i)/(4+7i)
=
(4-7i)/(4+7i)*(4-7i)/(4-7i)
= (16 - 56i + 49i^2)/(16 - 49i^2)
= (-33 - 56i)/65
(4-7i)/(4+7i)
(4-7i)/(4+7i)
=
(4-7i)/(4+7i)*(4-7i)/(4-7i)
= (16 - 56i + 49i^2)/(16 - 49i^2)
= (-33 - 56i)/65