(2x-1)²=3
(2x-1)²-3=0
(2x-1-√3)(2x-1+√3)=0
x=(1+√3)/2或x=(1-√3)/2
√(x+1)+√(x-1)
√(x+1)>=0,√(x-1)>=0
x>=-1,x>=1
x取值范围为:x>=1