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
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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

解方程组:x^2-y^2=1 (x-y)^2-2(x-y)-3=0
(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

21÷3=7
所以三个数是7-a,7,7+a
7-a+2,7+3,7+a+9等比
所以(7+3)2=(7-a+2)(7+a+9)
a2+7a-44=0
a=-11,a=4
所以三个数是18,7,-4或3,7,11