Algebra with complex numbers!

Please help as I am very stuck right now.

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!

Re: Algebra with complex numbers!

Quote:

Originally Posted by

**s1250632** Please help as I am very stuck right now.

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

Note that $\displaystyle {b}=\frac{a}{z}$ so $\displaystyle \frac{1}{a}+\frac{z}{a}=\frac{1}{a+\dfrac{a}{z}}$.