x等于根号2+1或1-根号2根号2+1大于0,他的绝对值等于它本身,减一就等于根号21-根号2减一等于-根号2,小于0 ,他的绝对值为相反数,即根号2
由题可得方程为:|x-1|=根号2∴①当x-1>0时x-1=根号2x=根号2+1②当x-1<0时-(x-1)=根号2-x+1=根号2-x=根号2-1x=1-根号2∴x=根号2+1x=1-根号2
lx-1l=√2x-1=±√2x=1±√2