【高一数学方程综合请详细解答,谢谢!(1217:26:9)正数x,y满足x2-y2=2xy   求  (x-y)(x+y)】
更新时间：2026-09-30 06:53:47
问题描述:
高一数学方程综合请详细解答,谢谢!(1217:26:9)
正数x,y满足x2-y2=2xy 求 (x-y)(x+y)
刘鹰回答:
正数x、y满足正数x、y满足x2-y2=2xy, x2-y2=2xy x2-2xy+y2-2y2=0 (x-y)2=2y2 x-y=√2*y x=(√2+1)y （x—y）/（xy）==√2*y/(√2+2)y =√2/(√2+2) =√2(2-√2)/(4-2) =√2-1