  We present a new explicit class of black holes in general quadratic gravity
with a cosmological constant. These spherically symmetric
Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived
under the assumption of constant scalar curvature, form a three-parameter
family determined by the black-hole horizon position, the value of Bach
invariant on the horizon, and the cosmological constant. Using a conformal to
Kundt metric ansatz, the fourth-order field equations simplify to a compact
autonomous system. Its solutions are found as power series, enabling us to
directly set the Bach parameter and/or cosmological constant equal to zero. To
interpret these spacetimes, we analyse the metric functions. In particular, we
demonstrate that for a certain range of positive cosmological constant there
are both black-hole and cosmological horizons, with a static region between
them. The tidal effects on free test particles and basic thermodynamic
quantities are also determined.
