The additive inverse of the complex number -12+4i is 12-4i
Explanation:
The standard form of complex numbers is given by:
[tex]a+bi \\ \\ Where: \\ \\ a,b:Real \ numbers \\ \\ i:imaginary \ number[/tex]
In this case we have:
[tex]-12+4i[/tex]
The Additive inverse of a complex number is another complex number such that the sum of it and the original one yields 0. In other words:
[tex]s+(-s)=0 \\ \\ Being \ s \ and \ -s \ complex \ numbers[/tex]
So, in this case we can write:
[tex]s=-12+4i \\ \\ \\ So: \\ \\ -s=12-4i \\ \\ \\ Because: \\ \\ (-12+4i)+(12-4i)=0[/tex]
Finally, the additive inverse of the complex number -12+4i is 12-4i
Learn more:
Complex numbers: https://brainly.com/question/10609227
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