m/(x+1)-n/(x+2)=1/(x+1)(x+2),mn为常数,求mn的值.
问题描述:
m/(x+1)-n/(x+2)=1/(x+1)(x+2),mn为常数,求mn的值.
答
m/(x+1)-n/(x+2)=1/(x+1)(x+2)
[(m(x+2)-n(x+1)]/(x+1)(x+2))=1/(x+1)(x+2)
[(m-n)x+2m-n)]/(x+1)(x+2))=1/(x+1)(x+2)
(m-n)x+2m-n)=1
m-n=0,2m-n=1
m=n=1
mn=1能不能说下m-n为什么等于0,谢谢(m-n)x+2m-n)=1右边不含一次项,常数项为1所以左边一次项的系数m-n=0,常数项2m-n=1