先化简,再求值:x-2⼀x-1÷(x+1)-3⼀x-1),其中√3-2.

2025-05-20 01:11:26
推荐回答(1个)
回答1:

x-2/x-1÷(x+1)-3/x-1)=x-2/(x-1)(x+1)-3(x+1)/(x-1)(x+1)
=(x-2-3x-3)/x²-1
=2x+5/1-X²
代入√3-2得
[2(√3-2)+5]/[1-(√3-2)²]
=(2√3+1)/[1-(3-4√3+4)]
=(2√3+1)/(4√3-6)