已知分式x(x-3)/x²的值为0,则2x/x²-1÷2x/1-x的值为________

已知分式x(x-3)/x²的值为0,则2x/x²-1÷2x/1-x的值为________

∵2(x-3)/﹙x²+3﹚=0,
∴x=3
∴2x/﹙x²-1﹚÷2x/﹙1-x﹚
=﹛2x/﹙x²-1﹚﹜×﹛﹙1-x﹚/2x﹜
=﹙1-x﹚／﹛﹙x-1﹚﹙x+1﹚﹜
=﹣1/﹙x+1﹚
=﹣1/4
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