设A=x⼀x-1,B=(3⼀x^2-1)+1,x为多少时A=B

设A=x/x-1,B=(3/x^2-1)+1,x为多少时A=B
2025-06-27 15:31:32
推荐回答(1个)
回答1:

A=x/(x-1),B=3/(x^2-1)+1
A=B
所以
x/(x-1)=3/(x^2-1)+1
[x(x+1)-3]/(x^2-1)=1
(x^2+x-3)/(x^2-1)=1
x^2+x-3=x^2-1
x=2
经检验X=2是方程的解
所以当x=2,A=B