x/(x-20)²=A/9x-2+B/(x-2)²求AB的值.x/(x-2)²=A/(x-2) + B/(x-2)²

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x/(x-20)²=A/9x-2+B/(x-2)²求AB的值.x/(x-2)²=A/(x-2) + B/(x-2)²

x/(x-20)²=A/9x-2+B/(x-2)²求AB的值.x/(x-2)²=A/(x-2) + B/(x-2)²
x/(x-20)²=A/9x-2+B/(x-2)²求AB的值.
x/(x-2)²=A/(x-2) + B/(x-2)²

x/(x-20)²=A/9x-2+B/(x-2)²求AB的值.x/(x-2)²=A/(x-2) + B/(x-2)²
右边通分=[A(x-2)-B]/(x-2)²
=[Ax-(A+B)]/(x-2)²
=x/(x-2)²
所以x=Ax-(A+B)
所以
1=A
0=-(A+B)
所以A=1,B=-1