解方程1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x-10)=5/24
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解方程1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x-10)=5/24
题目应是1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/24
1/2( 1/x-1/(x+2)+1/(x+2)-1/(x+4)+……+1/(x+8)-1/(x+10))=5/24
1/x-1/(x+10)=5/12
12*(x+10-x)=5x(x+10)
24=x^2+10x
x^2+10x-24=0
(x-2)(x+12)=0
x=2 或x=-12
经验证x=2或x=-12都是方程的解
1/2( 1/x-1/(x+2)+1/(x+2)-1/(x+4)+……+1/(x+8)-1/(x+10))=5/24
1/x-1/(x+10)=5/12
12*(x+10-x)=5x(x+10)
24=x^2+10x
x^2+10x-24=0
(x-2)(x+12)=0
x=2 或x=-12
经验证x=2或x=-12都是方程的解
解方程(x/x(x+2))+(x/(x+2)(x+4))+.+x/(x+8)(x+10)=1
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解方程:1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/24
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