当x=-1/2时代数式x/(x+1)-(x+3)/(x+1).(2x^2+6x)/(x^2+6x+9)的值恰好是分式方程2/(x-2)+mx/(x^2-4)=0的根,试求字母m的值,

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当x=-1/2时代数式x/(x+1)-(x+3)/(x+1).(2x^2+6x)/(x^2+6x+9)的值恰好是分式方程2/(x-2)+mx/(x^2-4)=0的根,试求字母m的值,
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当x=-1/2时代数式x/(x+1)-(x+3)/(x+1).(2x^2+6x)/(x^2+6x+9)的值恰好是分式方程2/(x-2)+mx/(x^2-4)=0的根,试求字母m的值,
当x=-1/2时代数式x/(x+1)-(x+3)/(x+1).(2x^2+6x)/(x^2+6x+9)的值恰好是分式方程2/(x-2)+mx/(x^2-4)=0的
根,试求字母m的值,

当x=-1/2时代数式x/(x+1)-(x+3)/(x+1).(2x^2+6x)/(x^2+6x+9)的值恰好是分式方程2/(x-2)+mx/(x^2-4)=0的根,试求字母m的值,
x/(x+1)-(x+3)/(x+1)*(2x^2+6x)/(x^2+6x+9)的
=x/(x+1)-(x+3)/(x+1)*2x(x+3)/(x+3)^2
=x/(x+1)-2x/(x+1)
=-x/(x+1)
x=-1/2
原式=(1/2)/(1/2)=1
1是分式方程2/(x-2)+mx/(x^2-4)=0的根
代入
2/(1-2)+m/(1-4)=0
m=-6
如果本题有什么不明白可以追问,