Calculating Equivalent Series Resistance and Inductance for Parallel Branches

[Physicist3]

Hi,

If I have two brances, branch 1 and branch 2 which are in parallel and each branch has a resistance and inductance, to calculate the equivalent series resistance and inductance, can I calculate the resistance and inductance separately e.g.

R_eq = R₁*R₂/R₁+R₂ (and same for X),

or do I have to do it combined E.g.

Z_eq = (R₁+jX₁)*(R₂+jX₂)/(R₁+jX₁)+(R₂+jX₂), and then convert to polar etc and back to rectangular to find the equivalent R and jX values? The two methods give me different answers?

Sorry, forgot to add, the values of R and X are in PER UNIT

 

[mfb]

The two methods give me different answers?

And the second one is correct. That should answer if the first one works.
Note that there are brackets missing.