Question

Given w1 = -2 + 3i and W2 = 4 - 4i, which complex number can be added to Wi to produce wz?

Answer 1

Given:

Two complex numbers are $w_1=-2+3i$ and $w_2=4-4i$.

To find:

The complex number that can be added to $w_1$ to produce $w_2$.

Solution:

Let complex number $z=$ is added to $w_1$ to produce $w_2$.

$w_1+z=w_2$

$z=w_2-w_1$

On substituting the values, we get

$z=(4-4i)-(-2+3i)$

$z=4-4i+2-3i$

Combine like real and imaginary parts.

$z=(4+2)+(-4-3)i$

$z=6+(-7)i$

$z=6-7i$

Therefore, the correct option is C.