解方程组:x^2-y^2=1 (x-y)^2-2(x-y)-3=0
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解方程组:x^2-y^2=1 (x-y)^2-2(x-y)-3=0
![解方程组:x^2-y^2=1 (x-y)^2-2(x-y)-3=0](/uploads/image/z/19143647-71-7.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%E7%BB%84%EF%BC%9Ax%5E2-y%5E2%3D1+%EF%BC%88x-y%29%5E2-2%28x-y%29-3%3D0)
(x-y)^2-2(x-y)-3=0
(x-y-3)(x-y+1)=0
x-y=3,x-y=-1
x²-y²=(x+y)(x-y)=1
x-y=3则x+y=1/3
相加
2x=10/3
x=5/3,y=x-3=-4/3
x-y=-1则x+y=-1
相加
2x=-2
x=-1,y=x+1=0
x=5/3,y=-4/3
x=-1,y=0
(x-y-3)(x-y+1)=0
x-y=3,x-y=-1
x²-y²=(x+y)(x-y)=1
x-y=3则x+y=1/3
相加
2x=10/3
x=5/3,y=x-3=-4/3
x-y=-1则x+y=-1
相加
2x=-2
x=-1,y=x+1=0
x=5/3,y=-4/3
x=-1,y=0
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