1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/x

7192652022-10-04 11:39:541条回答

1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/x
13=1/14

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个个都甘有型共回答了24个问题 | 采纳率91.7%: 1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/(x+13)=1/14
∴1/(x+10)-1/(x+11)+1/(x+11)-1/(x+12)+1/(x+12)-1/(x+13)+1/(x+13)=1/14
∴1/(x+10)=1/14
∴x=4; 1年前

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1/(X+10)(X+11)+1/(X+11)(X+12)+1/(X+12)(X+13)=1/14 筱纯1年前1: 爱谁吗谁不爱共回答了19个问题 | 采纳率94.7%

1/(X+10)(X+11)+1/(X+11)(X+12)+1/(X+12)(X+13)=1/14
[1/(x+10)-1/(x+11)]+[1/(x+11)-1/(x+12)]+[1/(x+12)-1/(x+13)]=1/14
1/(x+10)-1/(x+13)=1/14
[(x+13)-(x+10)]/[(x+10)(x+13)]=1/14
3/[(x+10)(x+13)]=1/14
3×14=(x+10)(x+13)
42=x²+23x+130
x²+23x+88=0
x=[-23±√(23²-4×88)]/2
x=(-23+√177)/2或x=(-23-√177)/2
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