Question

设A=x-1分之x,B=x平方-1分之3+1,当x为何值时,A与B的值相等

Answer 1

A=B

x-1分之x=x平方-1分之3+1,

x/(x-1)=3/[(x+1)(x-1)]+1,

x(x+1)=3+(x+1)(x-1)

x²+x=3+x²-1

x=3-1=2,

当x=2时,A与B的值相等.