解方程(x+¼)^2-(x-¼)(x+¼)=¼

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 20:58:44

解方程(x+¼)^2-(x-¼)(x+¼)=¼
解方程(x+¼)^2-(x-¼)(x+¼)=¼

解方程(x+¼)^2-(x-¼)(x+¼)=¼
(x+¼)^2-(x-¼)(x+¼)=¼
x²+1/2X+1/16-X²+1/16=1/4
1/2X=1/8
∴X=1/4

(x+¼)^2-(x-¼)(x+¼)=(x+¼)[(x+¼)-(x-¼)]=(x+¼)/2=¼
x=¼


左边式子化简后为x/2+1/8,即x/2+1/8=1/4,解得x=¼