解方程1/(x-1)(x-2) + 1/(x-2)(x-3) + ...+1/(x-5)(x-6)=2x/(x-1)(x
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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](/uploads/image/z/19323890-26-0.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B1%2F%28x-1%29%28x-2%29+%2B+1%2F%28x-2%29%28x-3%29+%2B+...%2B1%2F%28x-5%29%28x-6%29%3D2x%2F%28x-1%29%28x)
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
x=5/2=2.5
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