Question

If (m-5)+ i(n+4) is complex conjugate of (2m+ 3) i (3n+2) then (n,m) are​

Answer 1

Answer:

Given (m−5)+i(n+4) is the complex conjugate of (2m+3)+i(3n−2).

∴(m−5)+i(n+4)=(2m+3)−i(3n−2)

Equating the real and imaginary parts we get

m−5=2m+3 and n+4=−(3n−2)

⇒m=−8and4n=−2

⇒m=−8andn=−

2

1

Hence (n,m)=(−

2

1

,−8).

Answer 2

Answer:

Step-by-step explanation:

Given (m−5)+i(n+4) is the complex conjugate of (2m+3)+i(3n−2).

∴(m−5)+i(n+4)=(2m+3)−i(3n−2)

Equating the real and imaginary parts we get

m−5=2m+3 and n+4=−(3n−2)

⇒m=−8and4n=−2

⇒m=−8and n=− 2 1

​ Hence (n,m)=(− 2 1 ,−8).