X^2-y^2-x-y=0 和4x^2-y^2+2y-1=0 的方程组怎么解
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X^2-y^2-x-y=0和4x^2-y^2+2y-1=0的方程组怎么解X^2-y^2-x-y=0和4x^2-y^2+2y-1=0的方程组怎么解X^2-y^2-x-y=0和4x^2-y^2+2y-1=
X^2-y^2-x-y=0 和4x^2-y^2+2y-1=0 的方程组怎么解
X^2-y^2-x-y=0 和4x^2-y^2+2y-1=0 的方程组怎么解
X^2-y^2-x-y=0 和4x^2-y^2+2y-1=0 的方程组怎么解
X^2-y^2-x-y=0.(1)
4x^2-y^2+2y-1=0 .(2)
根据(1):(x+y)(x-y)-(x+y)=0
(x+y)(x-y-1)=0
x+y=0.(3)
或x-y-1=0.(4)
根据(2):(2x)^2-(y-1)^2=0
(2x+y-1)(2x-y+1)=0
2x+y-1=0.(5)
或2x-y+1=0.(6)
(3),(5)联立方程,解得:x=0,y=0
(3),(6)联立方程组,解得:x=-1/3,y=1/3
(4),(5)联立方程组,解得:x=2/3,y=-1/3
(4),(6)联立方程组,解得:x=-2,y=-3
因此解得:x=0,y=0
或x=-1/3,y=1/3
或x=2/3,y=-1/3
或x=-2,y=-3
4x^2-y^2+2y-1=4x^2-(y-1)^2=0
要善于观察特点。
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