Question

What is the additive inverse of the complex number 9 – 4i?

Answer 1

The additive inverse is were if you add the number an its opposite it become zero, so therefore this would show you that the opposite of this number is -9+4i , to help remember what a additive inverse is just think of how a inverse is like a opposite an remember that the inverse plus your number will equal zero.

I hope this helps.

Answer 2

Answer: The additive inverse of the given complex number is
`-9+4i.`

Step-by-step explanation: We are given to find the additive inverse of the following complex number :

`z=9-4i.`

We know that

the complex number z' is the additive inverse of a complex number z, if

`z+z'=0.`

So, let z' be the additive inverse of the given complex number z.

Then, we must have

`z+z'=0\\\\\Rightarrow (9-4i)+z'=0\\\\\Rightarrow z'=0-(9-4i)\\\\\Rightarrow z'=-9+4i.`

Thus, the additive inverse of the given complex number is
`-9+4i.`