x的平方加2xy加6x加2y的平方加4y加10等于0-搜答案-拍题作业网

x^2+2x+y^2-6y+10=0=(x^2+2x+1)+(y^2-6y+9)=0=(x+1)^2+(y^2-6y+3^2)=0=(x+1)^2+(y-3)^2=0x=-1y=3xy=-3

2x^2+3xy=122y^2+3xy=6相减2x^2-2y^2=6x^2-y^2=3（n减2)x的N的绝对值平方家三等于0?

N－M=4xy

3x^2+2xy+y^2-6x-6y+9=0(x+y)^2-6(x+y)+9=0(x+y-3)^2=0x+y=3

原等式可化为：x²-2xy+y²+6(x-y)+9+y²=0即：(x-y)²+6(x-y)+9+y²=0（x-y+3)²+y²=0

再问：谢了再问：加个朋友

x^2+2xy+y^2=25===>(x+y)^2=5^2===>x+y=±5(x-y)^2-3x+3y+2=0===>(x-y)^2-3(x-y)+2=0===>[(x-y)-1]*[(x-y)-2

求根法：x^2+xy-2y^2+2x+7y-3=x^2+x(y+2)-2y^2+7y-3,△（x)=(y+2)^2-4(-2y^2+7y-3)=9y^2-24y+16=(3y-4)^2,x1=[-(y

x²+2xy+4y²+x²y²+1=8xy(x²-4xy+4y²)+(x²y²-2xy+1)=0(x-2y)²

x的平方减6xy加9y的平方减2x加6y加1=(x-3y-1)^2

x方+y方+5/4=2x+y(x方-2x+1)+（y方-y+1/4)=0(x-1)方+（y-1/2)方=0x=1,y=1/2xy/(x+y)=1/3

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

3∵x/y=1/2∴y=2x故（x^2+2xy+y^2)/(x^2-xy+y^2)=(x+y)^2/(x^2-xy+y^2)=(x+2x)^2/(x^2-x·2x+4x^2)=9x^2/(3x^2)=

3x^2+5y^2+6xy+4y+2=03x^2+6xy+3y^2+2y^2+4y+2=03(x+y)^2+2(y+1)^2=0所以x+y=0y+1=0所以x=1,y=-1

x^2+2xy+y^2=(x^2+xy)+(xy+y^2)=2+7=9

x²-8xy+15y²+2x-6y=(x-3y)(x-5y)+2(x-3y)=(x-3y)(x-5y+2)

喔赛就是X+Y和的平方等于4

x^2+2xy+y^2=(x^2+xy)+(xy+y^2)=2+7=9

原式＝1/2(x^2+2xy+y^2)=1/2(x+y)^2