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**unknown reactance ....how to solve?**

## Homework Statement

a circuit with the unknown X (pure reactance) in sereis with a two parallel impedance.Z1= 4-j8 ; Z2= 1+j10 ....and total power factor is 0.707.. find the unknown reactance.

## Homework Equations

p.f. = Rtotal/Ztotal....

## The Attempt at a Solution

Z1= 8.94 angle of -63.43 degrees

Z2=10.05 angle of 84.29 degrees

i simplified the parallel Z1and Z2

Z12= 16.68 angle of -0.94 degrees..

or Z12= 16.68-j0.27

and i don't know how to continue...