If the equation m(x-1)=2001-n(x-2)for x has infinite roots,then m2001+n2001=______.(英汉小字典:equation方程;infinite roots无数个根)
人气:428 ℃ 时间:2020-02-06 04:02:12
解答
m(x-1)=2001-n(x-2),mx-m=2001-nx+2n,mx+nx=2001+2n+m,m+n)x=2001+2n+m,因为x有无数个根,所以m+n=02001+2n+m=0,解得:m=2001n=−2001,所以m2001+n2001=20012001+(-2001)2001=0.故答案为0....
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