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](/uploads/image/z/1002707-35-7.jpg?t=x%2F%28x-20%29%26%23178%3B%3DA%2F9x-2%2BB%2F%28x-2%29%26%23178%3B%E6%B1%82AB%E7%9A%84%E5%80%BC.x%2F%28x-2%29%26%23178%3B%3DA%2F%28x-2%29+%2B+B%2F%28x-2%29%26%23178%3B)
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