Hi again,

I need help with this question,

Find the complex number z that satisfies the equation 50/z* - 10/z = 2 + 9i given | z | = 2sqrt(10).

I had put 50 and 10 to the same denominator ie. zz* which then gives me |z|^2, and then I subbed in the value for |z| so my denominator was 40.

I then brought 40 over to RHS and got 80+360i.

The problem comes with the LHS, I am not sure how to deal with 50z-10z*..

I thought since z+ is a conjugate, I can turn it into z by changing the sign thus 50z+10z,

but I do not think I'm right, the answer key proved me wrong anyway.

Thank you so much!

J.