Question

For i = \(\sqrt{-1}\), the sum of \((\)\(-3\) \(+\) 4\(i\)\()\) \(+\)\((\)\(-4-3i)\) is equal to

• A. \(-1-i\)
• B. \(-1+i\)
• C. \(-7+i\)
• D. \(-7-i\)

Answer 1

The Correct Option is C

To find the sum of the complex numbers \((\)\(-3\) \(+\)\(4\)\(i\)\()\) and\((\)\(-4-3i)\)we can add the real parts and the imaginary parts separately
Real parts:
⇒\(-3+(-4)=-7\)
Imaginary parts:
⇒\(4i+(-3i)=1i\) or simply \(i\)
The sum is:\(-7+i\)
So the correct option is (C):\(-7+i\)