作业帮初二因式分解难题
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/29 23:14:38
初二因式分解难题
1/x(x+1) +1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3)-1/(x+4)+1/(x+4)-1/(x+5)=5/(x²+11x-708)
1/x-1/(x+5)=5/(x²+11x-708)
(x+5-x)/x(x+5)=5/(x²+11x-708)
x(x+5)=x²+11x-708
-6x=-708
x=118
1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3)-1/(x+4)+1/(x+4)-1/(x+5)=5/(x²+11x-708)
1/x-1/(x+5)=5/(x²+11x-708)
(x+5-x)/x(x+5)=5/(x²+11x-708)
x(x+5)=x²+11x-708
-6x=-708
x=118