先化简,再求值:3/(x-3)-18/(x^2-9),其中x=根号10-3

问题描述:

先化简,再求值:3/(x-3)-18/(x^2-9),其中x=根号10-3

3/(x-3)-18/(x^2-9),
=[3(x+3)-18]/(x^2-9),
=(3x-9)/(x^2-9),
=3/(x+3)
x=根号10-3
原式=3/(根号10-3+3)=(3根号10)/10