What is the additive identity of the complex number 14 + 5i?
14 - 5i, 0, 1, -14 - 5i

Solution:

Given complex number is 4 + 5i

The algebraic property of additive inverse holds true for complex numbers as well. 

Given any complex number Z = x + iy. Then its inverse is -Z = -x-iy.

Z + -(Z) = 0

⇒x + iy +(-x-iy) = 0

For example, the additive inverse of 2i-1 is -(2i-1) = -2i +1

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. 

So we need to add the term which makes the sum zero. i.e. 14 + 5i + [-(14 + 5i)] = 0

14 + 5i +[-14 - 5i] = 0

Therefore, the additive identity is -14 - 5i

What is the additive identity of the complex number 14 + 5i?

Summary:

The additive identity of the complex number 14 + 5i is -14 - 5i.