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马曼琳:已知X为整数,且(x+3/2)+(3-x/2)+(x的平方-9/2x+18) 为整数,求所有符合条 ...

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2020/08/12 13:10:51

e网情深的回答:

 2/x+3+2/3-x+2x+18/x^2-9 =[2(X-3)-2(X+3)+2X+18]/(X+3)(X-3) =2(X+3)/(X+3)(X-3) =2/(X-3) ∴X-3=±1, ±2 ∴X=4,, 2, 5, 1 符合条件x的值的和为4+2+5+1=12请采纳回答

e网情深的回答:

 2/x+3+2/3-x+2x+18/x^2-9 =[2(X-3)-2(X+3)+2X+18]/(X+3)(X-3) =2(X+3)/(X+3)(X-3) =2/(X-3) ∴X-3=±1, ±2 ∴X=4,, 2, 5, 1 符合条件x的值的和为4+2+5+1=12请采纳回答