Respuesta :
Answer:
8 - 3i
Step-by-step explanation:
The additive inverse is what you add to a number to get zero.
Thus adding 8 - 3i to - 8 + 3i gives
- 8 + 3i + 8 - 3i = 0
Additive inverse is 8 - 3i
The additive inverse of a number x is a number y such that
[tex]x+y=0[/tex]
From this definition, we can derive
[tex]y=-x[/tex]
So, to get the additive inverse of a number, you simply have to switch its signs.
Since complex numbers are made of two pieces (real and complex parts), you'll have to switch both signs:
[tex]z=-8+3i \implies -z = 8-3i[/tex]
In fact, if you try to sum them, you have
[tex](-8+3i)+(8-3i)=(-8+8)+(3i-3i)=0[/tex]
