简便解方程

来源:百度知道 编辑:UC知道 时间:2024/05/16 06:01:48
1/2[x-1/2(x-1)+1]=2/3(x-1)

1/2[x-1/2(x-1)+1]=2/3(x-1)
3[x-0.5(x-1)+1]=4(x-1)
3x-1.5x+1.5+3-4x+4=0
-2.5x=-8.5
x=3.4

原式=3[x-0.5(x-1)+1]
=4(x-1) 3x-1.5x+1.5+3-4x+4
=0-2.5x
=-8.5
=3.4

1/2x-1/4(x-1)+1/2=2/3(x-1)
1/2(x+1)-1/4(x-1)=2/3(x-1)
1/2(x+1)=7/12(x-1)
x=3.4

两边同时乘于12得:6x-3(x-1)+6=8(x-1)
把方程展开:6x-3x+3+6=8x-8即:5x=17,所以x=17/5

1/2[x-1/2(x-1)+1]=2/3(x-1)
1/2(0.5x+1.5)=2/3x-2/3
1/4x+3/4=2/3x-2/3
5/12x=17/12
x=17/5
x=3.4

17/5