数学
一道数学题(难!)已知:(x+1)/(x+1)(x-1)=a/(x-1)+b/(x-2),求a与b的值.

2019-04-13

一道数学题(难!)
已知:(x+1)/(x+1)(x-1)=a/(x-1)+b/(x-2),求a与b的值.
优质解答
(x+1)/(x+1)(x-1)=a/(x-1)+b/(x-2)
1=a+b(x-1)/(x-2)
x-2=a(x-2)+b(x-1)
a+b=1
2a+b=2
a=1
b=0
(x+1)/(x+1)(x-1)=a/(x-1)+b/(x-2)
1=a+b(x-1)/(x-2)
x-2=a(x-2)+b(x-1)
a+b=1
2a+b=2
a=1
b=0
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