1.(1-x)/(x-2)=[1/(2-x)]-2

问题描述:

1.(1-x)/(x-2)=[1/(2-x)]-2
2.[(x-3)/(x²-1)]-[2/(1+x)]

(1-x)/(x-2)=(2x-3)/(2-x)
2-3x+x^2=2x^2-7x+6
x^2-4x+4=0
(x-2)^2=0
x=2
检验:因为等式右边含有1/(2-x),x≠2
所以没解
原式=[(x-3)-2(x-1)]/(x^2-1)
=-(x+1)/(x^2-1)
=1/(1-x)