6(xy)2一2(xy)(x十y)
问题描述:
6(xy)2一2(xy)(x十y)
答
xy=2x+y+6≥2根号下2xy+6(x>0,y>0)∴令根号下2xy=b∴b^2\/2≥2b+6∴b^2-4b-12≥0∴b≥6或b≤-2∵b=根号下2xy>0∴b≥6\r\n
6(xy)2一2(xy)(x十y)
xy=2x+y+6≥2根号下2xy+6(x>0,y>0)∴令根号下2xy=b∴b^2\/2≥2b+6∴b^2-4b-12≥0∴b≥6或b≤-2∵b=根号下2xy>0∴b≥6\r\n