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Q.
If $z$ is a complex number and $z+(-z)=0$, then
Complex Numbers and Quadratic Equations
Solution:
To every complex number $z=a+i b$, we have the complex number $-a+i(-b)$ (denoted as $-z$ ), called the additive inverse or negative of $z$. We observe that $z+(-z)=0$ (the additive identity).