algebra2
posted by melba on .
simplify the following quotient of complex numbers into the form of a+bi 9+8i/1+2i

When there is a division (denominator), multiply top and bottom by the conjugate of the denominator.
9+8i

1+2i
(9+8i)(12i)
=
(1+2i)(12i)
(9+16+8i+18i)
=
(1+42i+2i)
(7+26i)
=
(5)
=7/5 + (26/5)i