已知实数x,y满足x²+√2y=√3,y²+√2x=√3且x≠y 则x+y=根号2______,xy=_2-根号3_____x²+√2y=y²+√2x，x²-y²＝√2x－√2y，x+y=√2求过程！！！x²+√2y+y²+√2x=2√3，(x+y)²-2xy+√2(x+y)=2√3(√2)²-2xy+√2*√2=2√3,xy=2-√3