x+1⼀x-1-4⼀x2-1=-1解分式方程

2024-12-03 11:52:24
推荐回答(2个)
回答1:

x+1/x-1-4/x2-1=-1
x-1-1+1+1/x-4/x2=0
x-1+1/x-4/x2=0
x³-x²+x-4=0
有一个实数解:
x=1.74295920216631......

回答2:

(x+1)/(x-1)-4/(x2-1)=-1
(x+1)^2-4=1-x^2
(x+1+2)(x+1-2)=1-x^2
(x+3)(x-1)=1-x^2
x+3=-(x+1)
2x=-4
x=-2