Question

add.
(6 - 5i) + (-1 + 4i)
write your answer as a complex number in standard form.

Explanation:

Step1: Group real and imaginary parts

To add complex numbers, we group the real parts and the imaginary parts separately. So, \((6 - 5i)+(-1 + 4i)=(6 + (-1))+(-5i + 4i)\).

Step2: Simplify real and imaginary parts

Simplify the real part: \(6+(-1)=5\). Simplify the imaginary part: \(-5i + 4i=-i\). Then combine them to get the complex number in standard form.

Answer:

\(5 - i\)