解方程:x⼀(x-1)+1⼀x=1

2024-12-21 02:10:09
推荐回答(4个)
回答1:

同乘x(x-1)
x平方+(x-1)=x(x-1)
x平方+x-1=x平方-x
2x=1
x=0.5(即1/2)

回答2:

x/(x-1)+1/x=1
[x^2+x-1]/(x-1)x=1

[x^2+x-1-x^2+x]/(x-1)x=0
[2x-1]/(x-1)x=0
x=1/2

回答3:

x²/x-1=x
x²+x-1=x²-x
2x=1
x=0.5

回答4:

x1=1。x2=-2