解方程1/(x-5)(x-4)+1/(x-4)(x-3)+…+1/(x-1)x+1/x(x+1)+…+1/(x+4)(x+5)=10/11(x-5)
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1/(x-5)(x-4)+1/(x-4)(x-3)+…+1/(x-1)x+1/x(x+1)+…+1/(x+4)(x+5)=10/11(x-5)
1/(x-5) - 1/(x-4) + 1/(x-4) - 1/(x-3) + ... + 1/(x+4) - 1/(x+5) = 10/11(x-5)
1/(x-5) - 1/(x+5) = 10/11(x-5)
(x+5) - (x-5) = 10/11* (x+5)
10 = 10/11*(x+5)
x=6
1/(x-5) - 1/(x-4) + 1/(x-4) - 1/(x-3) + ... + 1/(x+4) - 1/(x+5) = 10/11(x-5)
1/(x-5) - 1/(x+5) = 10/11(x-5)
(x+5) - (x-5) = 10/11* (x+5)
10 = 10/11*(x+5)
x=6
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