解方程组x^2-y^2=x+y 4x^2-y^2+2x-y=0过程

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/30 05:13:17

(x+y)(x-y)-(x+y)=0
(x+y)(x-y-1)=0
若x-y-1=0
y=x-1
则4x^2-x^2+2x-1+2x-x+1=0
3x^2-3x=0
3x(x-1)=0
x=0,x=1
y=x-1
若x+y=0
y=-x
则4x^2-x^2+2x+x=0
3x^2+3x=3x(x+1)=0
x=0,x=-1
y=-x
所以
x=0,y=-1
x=1,y=0
x=0,y=0
x=-1,y=1

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