解:2(2x-1)^2=3(2x-1)^2=3/22x-1=±√6/2x=(±√6+1)/4 2x^2+4x-1=0x^2+2x-1/2=0x^2+2x+1-1-1/2=0(x+1)^2=3/2x+1=±√6/2x=(1±√6)/2