Question

when two complex numbers are added the sum is 5+6i. If one of the numbers is -4-5i, what is the other number?

Answer 1

`x = 9 + 11i`

Explanation:

let's make the other number x and add it with -4-5i, equate to 5+6i

`- 4 - 5i + x = 5 + 6i`

add 4 and 5i to both sides to get x on its own:

`x = 5 + 6i + 4 + 5i`

collect like terms. This is the other number.

`x = 9 + 11i`