解方程x四方-x²+2xy+y²+1=0 x²+2xy+6x+2y²+4y+10=0x四方-x²+2xy+y²+1=0x²+2xy+6x+2y²+4y+10=0
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/30 18:58:13
![解方程x四方-x²+2xy+y²+1=0 x²+2xy+6x+2y²+4y+10=0x四方-x²+2xy+y²+1=0x²+2xy+6x+2y²+4y+10=0](/uploads/image/z/571628-20-8.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8Bx%E5%9B%9B%E6%96%B9-x%26%23178%3B%2B2xy%2By%26%23178%3B%2B1%3D0+x%26%23178%3B%2B2xy%2B6x%2B2y%26%23178%3B%2B4y%2B10%3D0x%E5%9B%9B%E6%96%B9-x%26%23178%3B%2B2xy%2By%26%23178%3B%2B1%3D0x%26%23178%3B%2B2xy%2B6x%2B2y%26%23178%3B%2B4y%2B10%3D0)
xRN0~)u($ M{$F&% 1ᅏkWSI%~zz5Ʒ>EMidy o"PDz$2|.IM}};1,8'*!Ij$cLn(@%5[n9`-S++U_s_`f2S:6s]8qjjDι/Ĕ:X_WfNSmC+(ڇ}]F!+#~zs"Sl~dĥ&
&[;ziYBu'Nkt*-ȎXus0)85
解方程x四方-x²+2xy+y²+1=0 x²+2xy+6x+2y²+4y+10=0x四方-x²+2xy+y²+1=0x²+2xy+6x+2y²+4y+10=0
解方程x四方-x²+2xy+y²+1=0 x²+2xy+6x+2y²+4y+10=0
x四方-x²+2xy+y²+1=0
x²+2xy+6x+2y²+4y+10=0
解方程x四方-x²+2xy+y²+1=0 x²+2xy+6x+2y²+4y+10=0x四方-x²+2xy+y²+1=0x²+2xy+6x+2y²+4y+10=0
x^4-x^2+2xy+y^2+1=0
x^4-2x^2+1+x^2+2xy+y^2=0
(x^2-1)^2+(x+y)^2=0
因为(x^2-1)^2>=0,(x+y)^2>=0
当且仅当(x^2-1)^2=0,(x+y)^2=0等式才成立
x=±1,y=-x
所以x=1,y=-1或x=-1,y=1
x²+2xy+6x+2y²+4y+10=0
x²+2xy+y²+y²-2y+1+6x+6y+9=0
(x+y)^2+(y-1)^2+6(x+y)+9=0
(x+y)^2+6(x+y)+9+(y-1)^2=0
(x+y+3)^2+(y-1)^2=0
因为(x+y+3)^2>=0,(y-1)^2>=0
当且仅当(x+y+3)^2=0,(y-1)^2=0等式才成立
即y=1,x+y+3=0
x+1+3=0
x=-4
所以x=-4,y=1
我会,稍等
①式可化简为(x²-1)²+(x+y)²=0
②式可化简为(x+y)²+(y+2)²+6(x+1)=0
由①易得x=1或-1,y=-x。由②得x=-1,故y=1.
不懂就要问,好好学习,天天向上。