若方程x y=-1,2x-y=4和x-my=7有公共解

cos(xy)-x^2·y=1两边对x求导-sin(xy)*(y+xy')-2xy-x^2y'=0===>x=1,y=0,y'=0-cos(xy)(y+xy')^2-(y'+y'+xy")-2y-2x

x+y=x^2-xy+y^2+1则有;y^2+(-x-1)y+x^2-x+1=0判别式是;(-x-1)^2-4(x^2-x+1)=x^2+2x+1-4x^2+4x-4=-3x^2+6x-3=-3(x^

这是哪里的题,你确认没有写错?再问：没有啊，这是高一衔接题目再答：借鉴迷路的猫猫原式以y为主元，因式分解，可得：2y²+(4+x)y-x²-5x-6=02y²+(4+x)

(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-6xy+3x-3y=-6×(-2)+3×1=15

设y/x=k,即有y=kx代入方程中有：x^2+k^2x^2-4x+1=0(1+k^2)x^2-4x+1=0判别式=16-4(1+k^2)>=01+k^2

原式=3x-3y-6xy=3-12=-9

x^4-x^2+2xy+y^2+1=0x^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

x²+2xy+6x+2y²+4y+10=0x²+2xy+y²+6x+6y+9+y²－2y+1=0(x+y)²+6（x+y）+9+y²

(x-y)^2=9,(x+2y)^2+(x+2y)=2,2x-1/y=3[2xy-1=3y],x=2y[4y^2-3y-1=0,y=1或者y=-1/4],x=2或者x=-1/2

设X+y=A,Xy-1=B,第一个方程改变为（x+y)^2+(xy-1)^2=10,这样解就比较方便了,剩下的就比较好解决了

x^2y^2-8xy+4x^2+y^2+4=0(x^2y^2-4xy+4)+(4x^2-4xy+y^2)=0(xy-2)^2+(2x-y)^2=0平方相加等于0则都等于0所以xy=2,2x=y所以x*

(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-2xy+2x+3y-3xy-2y+2x-x-4y-xy=-6xy+3x-3y=-6xy+3*(x-y)当时,原式=-6*1+3*

3x²-xy+y²=101-xy+4y²=421-2得3x²-3y²=6x²-y²=2选B

（1）、x^2+2xy+y^2-4x-4y-5=(x+y-5)(x+y-1)=0,——》x+y=5,或x+y=-1,x^2-2xy+y^2-2x+2y-3=(x-y-3)(x-y+1)=0,——》x-

=(x^4+x^3y)+(y^4+xy^3)+(4x^3y+4x^2y^2)+(4xy^3+4x^2y^2)+x^2y+xy^2=x^3(x+y)+y^3(x+y)+4x^2y(y+x)+4xy^2(

(2x-14xy-2y)除以(x-2xy-y)=4(2x-14xy-2y)=4(x-2xy-y)2x+6xy-2y=0x-y=-3xy两边同除以xy,得1/y-1/x=-3所以1/x-1/y=3

得y-x=3xyx-y=-3xy原式=-15xy+2xy/-3xy-4xy=-13/-7=13/7

4x^2-4xy+2y^2+2y+1=0(4x^2-4xy+y^2)+(y^2+2y+1)=0(2x-y)^2+(y+1)^2=02x-y=0,y+1=0x=-1/2,y=-1

(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-2xy+2x+3y-3xy-2y+2x-x-4y-xy=-6xy+3x-3y=-6*(-2)+3*1=15不懂可追问,有帮助请采