x⼀xx+x+1=1⼀4 求xx⼀xxxx+xx+1

2025-02-27 03:51:52
推荐回答(2个)
回答1:

xx/(xxxx+xx+1)
=1/(xx+1+1/xx)

x/xx+x+1=1/4
4x=xx+x+1
3x=xx+1
xx=3x-1

所以原式化简为:
原式
=1/(xx+1+1/xx)
=1/(3x-1+1+1/(3x-1))
=1/(3x+1/(3x-1))
=(3x-1)/(9xx-3x+1)
=(3x-1)/(9(3x-1)-3x+1)
=(3x-1)/(27x-9-3x+1)
=(3x-1)/(24x-8)
=(3x-1)/[8(3x-1)]
=1/8.

回答2:

先把左边的1移到右边,在两别平方。通过整理,就能得出答案:9/16