题目内容：

15．已知2009的算术平方根=x算术平方根+y算术平方根,x大于0,y大于x,则满足上式的整数（x,y)有 ---

优质解答

√2009=√x+√y2009=x+2√(xy)+y2√(xy)=2009-x-y4xy=(2009-x-y)²4xy=2009²+x²+y²+2xy-4018x-4018yx²-2xy+y²-4018x-4018y+4036081=0(x-y)²-4018(x+y)+4036081=0(x-y)²+4036...