"capable of receiving consolation," 1721; see console (v.) + -able. It seems to be mostly a dictionary word, perhaps a back-formation from inconsolable.
1520s, "worthy of belief," from credit (v.) + -able. Meaning "reputable, bringing credit or honor" is from 1650s. Related: Creditably; creditability; creditableness.
"capable of being healed or cured," late 14c., a native formation from cure (v.) + -able, or else from Old French curable (13c.) and directly from Late Latin curabilis, from Latin curare. Related: Curably; curability; curableness.