m+(4√mn ̄)-2√m ̄-4√n ̄+4n=3,求(√m ̄+2√n ̄-8)除以(√m ̄+2√n ̄+2002)的值

问题描述:

m+(4√mn ̄)-2√m ̄-4√n ̄+4n=3,求(√m ̄+2√n ̄-8)除以(√m ̄+2√n ̄+2002)的值

设x=根号m+2根号n的平方(x>0),得x^2=m+4n+4根号mn,所以x^2-2x=3.
求得x=-1或x=3,因为x>0,所以x=3.答案为-1/401