Homelessness is not going to be eradicated unless we acknowledge that it is not anything else but a symptom of the imperfection of the society in which we live.

eradicated 是动词 eradicate 的过去分词形式，在句中表示被动。eradicate 由前缀 e-（表示"完全"）和词根 radix（"根"）组成，字面意思是"连根拔除"，引申为"彻底消灭、根除"的意思。这里表示"被彻底消除"的状态。