x+1分之3加x-1分之2=1-x的平方分之6,解方程,要过程,麻烦了

2024-12-14 03:23:23
推荐回答(2个)
回答1:

3/(x+1)+2/(x-1)=6/(1-x)^2
3(1+x)(x-1)+2(1+x)(1-x)=6(x-1)
3(x^2-1)+2(1-x^2)=6x-6
3x^2-3+2-2x^2=6x-6
x^2-1-6x-6=0
x^2-6x-5=0
(x-5)(x-1)=0
x=5或x=1

回答2:

x+1分之3加x-1分之2=1-x的平方分之6
将方程将有两边同时乘以(1+X)(1-X)(X-1),得:
3(1-x)(x-1)+2(1+x)(1-x)=6(x-1)
......
会了吧......