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!