  Following the discovery of X-ray absorption in a high velocity outflow from
the bright quasar PG1211+143 we have searched for similar features in XMM
archival data of a second (high accretion rate) quasar PG0844+349. Evidence is
found for absorption lines in both the EPIC and RGS spectra, whose
identification with resonance transitions in H-like Fe, S, and Ne implies an
origin in highly ionised matter with an outflow velocity of order ~0.2c. The
line equivalent widths require a line-of-sight column density of N_H ~ 4 x
10^23 cm^-2, at an ionisation parameter of log(xi) ~ 3.7. Assuming a radial
outflow being driven by radiation pressure from the inner accretion disc, as
suggested previously for PG1211+143, the flow is again likely to be optically
thick, in this case within ~ 25 Schwarzschild radii. We suggest that a high
velocity, highly ionised outflow is likely to be a significant component in the
mass and energy budgets of many AGN accreting at or above the Eddington rate.
