(x-40)[200-10(x-50)]=2000求简便计算过程,

问题描述:

(x-40)[200-10(x-50)]=2000求简便计算过程,

令y=x-40,那么原题变为
y[200-10(y-10)]=2000==>y[20-(y-10)]=200==>-y^2+30y-200=0
==>(y-10)(y-20)=0
因此,y=10或y=20
而x=y+40,得x=50或x=60