Additive Inverse of 9+6i
An additive inverse of a complex number is a number that, when added to the original number, gives a sum of zero. In other words, it is the negative of the original number.

Finding the Additive Inverse
To find the additive inverse of a complex number, we simply change the sign of the real and imaginary parts of the number. For a complex number a+bi, the additive inverse is -a-bi.

Given Complex Number: 9+6i
In this case, the complex number is 9+6i. To find its additive inverse, we change the sign of both the real and imaginary parts:
Additive Inverse = -(9) - (6i)
Additive Inverse = -9 - 6i
Therefore, the additive inverse of 9+6i is -9-6i. When you add 9+6i to -9-6i, you will get zero, making -9-6i the additive inverse of 9+6i.