# Algebra with complex numbers!

• October 29th 2012, 01:05 PM
s1250632
Algebra with complex numbers!

Question: If z =a/b and 1/(a+b) = 1/a + 1/b , find z?

Additional Information: You can assume that a and b are non-zero complex numbers.

To be honest I'm not even sure where to start at the moment as I've always been poor with complex numbers.

Any help would be much appreciated!
• October 29th 2012, 02:32 PM
Plato
Re: Algebra with complex numbers!
Quote:

Originally Posted by s1250632
Note that ${b}=\frac{a}{z}$ so $\frac{1}{a}+\frac{z}{a}=\frac{1}{a+\dfrac{a}{z}}$.