Question

PLEASE HELP!!

Which two complex numbers when added together and written in the standard form will give you 19 – 2i?
A.   7 − 3i
B.   −5 − 8i
C.   12 + i
D.   −4 + 9i
E.   6 − 6i
F.   −9 + 15i
G.  1 + 10i
H.  11 − 12i

Answer 1

Answer: A and C

Notice how 7+12 = 19 which constitutes the real part while -3i+i = -3i+1i = -2i is the imaginary part.

Answer 2

Option A and C are correct.

`7-3i` and
`12 + i`

Explanation:

A standard complex number is in the form of
`a+ib`

where a represents the real number and bi is the imaginary part.

From the given options:

let
`z_1=7-3i` and

`z_2=12+i`

then;

`z_1+z_2 = (7-3i)+(12+i) = (7+12)+i(-3+1) = 19+i(-2)=19-2i`

Therefore, the two complex numbers when added together and written in the standard form will give you
`19-2i` are:

`7-3i` and
`12 + i`