已知x—y=1,x^2+y^2=25,求xy的值
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已知x—y=1,x^2+y^2=25,求xy的值已知x—y=1,x^2+y^2=25,求xy的值已知x—y=1,x^2+y^2=25,求xy的值(x-y)^2=x^2-2xy+y^2=1,x^2+y^
已知x—y=1,x^2+y^2=25,求xy的值
已知x—y=1,x^2+y^2=25,求xy的值
已知x—y=1,x^2+y^2=25,求xy的值
(x-y)^2=x^2-2xy+y^2=1,
x^2+y^2=25代入,得,
xy=12
x=y+1
代入x^2+y^2=25
(y+1)^2+y^2=25
y^2+y-12=0
(y-3)(y+4)=0
则y=3或y=-4
代入x—y=1
解得x=4或=-3
x^2+y^2=x^2+y^2-2xy+2xy=(x-y)^2+2xy=25 代入得 2xy=24 xy=12
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