Question

Find the Midpoint. Please explain

Answer 1

Answer:
`(5)/(2), (7)/(2)i`

Explanation:

By definition, the Midpoint of a line segment joining two Complex numbers in the form
`a + bi` and
`s + ti`, can be calculated with the following formula:

`M=(a+s)/(2), (b+t)/(2)i`

Therefore, in this case, given the Complex numbers
`3+8i` and
`2-i`, we can substitute values into the formula.

Then, the Midpoint between
`3+8i` and
`2-i` is:

`M=(3+2)/(2), (8+(-1))/(2)i\\\\M=(5)/(2), (7)/(2)i`

Answer 2

`(5)/(2) + (7)/(2) i`

Explanation:

The first complex number is

`3 + 8i`

The second is

`2 - i`

To find the midpoint, you must add the real parts and divide by two and the same thing you do to the complex parts too.

This will give us

`(3 + 2)/(2) + (8i + - i)/(2)`

You then simplify to get:

`(5)/(2) + (7)/(2) i`

This is your final answer