Given w1 = -2 + 3i and W2 = 4 - 4i, which complex number can be added to Wi to produce wz? 6-i
-6-i
6-7i
-6+7i

Given:

Two complex numbers are and .

To find:

The complex number that can be added to to produce .

Solution:

Let complex number is added to to produce .

On substituting the values, we get

Combine like real and imaginary parts.

Therefore, the correct option is C.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -