(adsbygoogle = window.adsbygoogle || []).push({}); Complex Number---how to show it ?

Given that z = x + yi and

w = ( z + 8i )/(z - 6) , z not equal to 6 .

If w is totally imaginary, show that :

x^2 + y^2 + 2x - 48 = 0

i understand the question, but the problem i facing is i only be able to show :

x^2 + y^2 - 6x + 8y = 0

i think that in order to satisfy what the question ask , i need to find y in term of x, but i cant do it.....i dont sure whether is the question wrong already or my mistake. Any expert there, please help.

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# Homework Help: Complex Number-how to show it ?

**Physics Forums | Science Articles, Homework Help, Discussion**