SOLUTION: Find the additive inverse of each number 1.) 3-7i 2.) -2 + i

Algebra.Com
Question 175626: Find the additive inverse of each number
1.) 3-7i
2.) -2 + i

Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
3-7i..additive inverse is -3+7i
-2+i..additive inverse is 2-i
:
together the complex number added to its additive inverse should equal
:
0+0i

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
The additive inverse of any number is that number when added to the original number results in , in other words . That is because for all .

In order to add two complex numbers, you add the real parts and then add the real coefficients of the imaginary parts, thus:



Hence, if you are trying to find the additive inverse of a complex number you need to find the additive inverse of the real part and the additive inverse of the coefficient of the imaginary part.

Problem 1.

The additive inverse of is and the additive inverse of is so the additive inverse of must be .

Check:

Do the other problem the same way.

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