已知m+n=5.mn=3,

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已知m+n=5.mn=3,
已知m+n=5.mn=3,

已知m+n=5.mn=3,
根号下N+1/M+1+根号下M+1/N+1的和的平方
=[N+1]/[M+1]+2+[M+1]/[N+1]
={[[N+1][N+1]+[M+1][M+1]]/[[M+1][N+1]]}+2
={[N*N+M*M+2[N+M+1]]/[N*M+N+M+1]}+2
={[N+M][N+M]-2NM+2[N+M+1]]/[N*M+N+M+1]}+2
={5*5-2*3+2[5+1]}/[1+3+5]+2
={31/9}+2
=49/9
所以答案为7/3
=

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