Question

Find the Midpoint. Please explain

Answer 1

Answer:

$\frac{5}{2} + \frac{7}{2} i$

Step-by-step 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

$\frac{3 + 2}{2} + \frac{8i + - i}{2}$

You then simplify to get:

$\frac{5}{2} + \frac{7}{2} i$

This is your final answer

Answer 2

Answer: $\frac{5}{2}, \frac{7}{2}i$

Step-by-step 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:

$M=\frac{a+s}{2}, \frac{b+t}{2}i$

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:

$M=\frac{3+2}{2}, \frac{8+(-1)}{2}i\\\\M=\frac{5}{2}, \frac{7}{2}i$