解方程组 (x+y)(x+y-1)=56 (x-y)(x-y-1)=12

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解方程组 (x+y)(x+y-1)=56 (x-y)(x-y-1)=12
解方程组 (x+y)(x+y-1)=56 (x-y)(x-y-1)=12

解方程组 (x+y)(x+y-1)=56 (x-y)(x-y-1)=12
(x+y)(x+y-1)=56
(x+y)^2-(x+y)-56=0
(x+y-8)(x+y+7)=0
x+y=8 x+y=-7
(x-y)(x-y-1)=12
(x-y)^2-(x-y)-12=0
(x-y-4)(x-y+3)=0
x-y=3 x-y=-3
解得:
x = 6,y=2
x= -(3/2),y = -(11/2)
x= 5/2,y = 11/2
x =-5,y = -2

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