Question

Divide the following complex numbers:
(3+i)/(2-3i)

Answer 1

Answer: 3/13+11/13

Step-by-step explanation: To find this answer you need to divide the complex numbers together to get your answer.

Answer 2

B

Explanation:

To divide the fraction, multiply the numerator and denominator by the complex conjugate of the denominator.

The conjugate of 2 - 3i is 2 + 3i, thus

=
`((3+i)(2+3i))/((2-3i)(2+3i))`

Expand numerator/ denominator using FOIL

=
`(6+11i+3i^2)/(4-9i^2)` → note i² = - 1

=
`(6+11i-3)/(4+9)`

=
`(3+11i)/(13)`

=
`(3)/(13)` +
`(11)/(13)` i → B