我这里有一道简单的方程题,各位费费心,教我一下!

来源:百度知道 编辑:UC知道 时间:2024/05/30 00:48:17
题:(/是分数线)1/2{X-1/3【X-1/4(X-2/3)】-3/2}=X+3/4

(加检验的,简便方法也写出来,过程要都全)

1/2{X-1/3【X-1/4(X-2/3)】-3/2}=X+3/4
x-1/3[3/4x+2/12]-3/2=1/2x+3/8
3/12x+2/36-3/2=1.5x+0.375
0.25x-1.5x=0.375-1/18+1.5
-1.25x=1/59/72
x=-131/90

=1/2{x-1/3[x-1/4x+1/6]-3/2}=x+3/4
1/2{x-1/3[3/4x+1/6]-3/2}=x+3/4
1/2{x-1/4x-1/18-3/2}=x+3/4
1/2x-1/8x-1/36-3/4=x+3/4
-55/36=5/8x
x=-22/9