(x+y)^2 =1
x^2 + 2xy +y^2 =1 [1]
(x-y)^2 =49
x^2 - 2xy +y^2 =49[2]
[1]+[2],得
2x^2 + 2y^2 = 50
x^2 + y^2 =25
[1]-[2],得
4xy=-48
xy=-12