Question

Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part?
@primeralph

Answer 1

anyone ?

Answer 2

for the conjugate of : \(z = 2 + 3i \)

if \(z = a + i \ b\), then its conjugate \(\bar z\) or \(z^* = a - i \ b\)

Answer 3

how do i set it up ?

Answer 4

you have \(z=2+3i \\\ = a+i b\)

you now want \(\bar z\) or \(z^* = a-i b \)

Answer 5

so a =

and

b =

and thus you have the conjugate

Answer 6

im thinking its 3i + 2. am i right

Answer 7

go back a step

if
\(z=2+3i =a+i \ b\), what is a and what is b ... ?

Answer 8

which is

\(z^∗=a−i \ b\)

Answer 9

oh so 2+3i?

Answer 10

that's the number you started with

you are looking for its conjugate

Answer 11

totally confused

Answer 12

you started with
\(z=2+3i\)

you want its conjugate

you get there by simply reversing the sign of the imaginary part