The correct answer from the choices given will be -13 - 4i. The numerical part is the real number while the term containing i is the imaginary part.
A complex number is one that both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
[tex]\rm 13 + 4 i + n =0[/tex]
By transfeering the left-hand side term to the right-hand side the sign will change. We will get the value of n as;
[tex]\rm n=-13 - 4i[/tex]
Hence the correct answer from the choices given will be -13 - 4i.
To learn more about the complex number refer to the link;
https://brainly.com/question/10251853