解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)

来源：学生作业帮助网 编辑：作业帮 时间：2024/07/14 01:20:56
解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)
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解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)
解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)
解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)

解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x-6)
原式化为1/（x-2）-1/(x-1)+1/(x-3)-1/(x-2)+.1/(x-6)-1/(x-5)=1/(x-6)-1/(x-1)=5/(x-1)(x-6)=2x/(x-1)(x-6)得2x=5
x=5/2=2.5

1/(x-1)(x-2) + 1/(x-2)(x-3) + ... +1/(x-5)(x-6)=1/(x-2)-1/(x-1)+1/(x-3)(x-2)+...+1/(x-6)-1/(x-5)
=1/(x-6)-1/(x-1)=5/(x-1)(x-6)=2x/(x-1)(x-6)
5=2x,
x=5/2

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