已知实数m.n满足:m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1) 求m和n的值
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![已知实数m.n满足:m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1) 求m和n的值](/uploads/image/z/11490346-10-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0m.n%E6%BB%A1%E8%B6%B3%EF%BC%9Am%2F%EF%BC%88x%EF%BC%8D1%EF%BC%89%EF%BC%8Bn%2F%EF%BC%88x%EF%BC%8B2%EF%BC%89%EF%BC%9D%EF%BC%882x%EF%BC%8B7%EF%BC%89%2F%EF%BC%88x%EF%BC%8D1%EF%BC%89%EF%BC%88x%EF%BC%8B1%EF%BC%89+%E6%B1%82m%E5%92%8Cn%E7%9A%84%E5%80%BC)
已知实数m.n满足:m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1) 求m和n的值
已知实数m.n满足:m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1) 求m和n的值
已知实数m.n满足:m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1) 求m和n的值
m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+1)
m(x+2)+n(x-1)=2x+7
(m+n)x+2m-n=2x+7
比较系数得
m+n=2
2m-n=7
解得m=3,n=-1
m/(x-1)+n/(x+2)=(2x+7)/(x-1)(x+2)
m(x+2)+n(x-1)=2x+7
(m+n)x+2m-n=2x+7
所以:
m+n=2
2m-n=7
解得m=3,n=-1
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