Find the value of the variable

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devonyam7965

13.01.2023

Mathematics

The additive inverse of a complex z is a complex number -z,

so that

$\mathsf{z+(-z)=-z+z=0+0i=0}$

Finding -z:

$\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark$

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I hope this helps.

Tags: complex number additive inverse opposite algebra

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