已知x平方加y平方-6x 2y 10-搜答案-智慧作业帮

应该是x^2-2x+y^2+6y+10=0配方：x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0得x=1y=-3所以x+y=-2

再答：谢谢

把25拆成16+9(x²-8x+16)+(y²+6y+9)=0(x-4)²+(y+3)²=0平方大于等于0,相加等于0若有一个大于0,则另一个小于0,不成立.所

X²+Y²=10..(1)X+Y=6..(2)(2)²-(1)得2XY=26XY=13如果认为讲解不够清楚,

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

∵(x+1)²+|y-2|=0　∴x+1=0　　y-2=0　∴x=-1　　y=2　∴x²y²+3xy-7x²y²-(5/2)xy+1+5x²

x^2-2x+y^2+6y+10=0x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0x-1=0,y+3=0x=1,y=-3(x-y)/(x+y)=4/(-2)=-2

x²+y²+4x-6y+13=0(x²+4x+4)+(y²-6y+9)=0(x+2)²+(y-3)²=0x+2=0y-3=0x=-2y=3当

x^2+y^2=6y-4x-13x^2+4x+4+y^2-6y+9=0(x+2)^2+(y-3)^2=0x=-2y=3x^2-y^2=(-2)^2-3^2=4-9=-5

x平方加y平方减2xy减6x加6y加9=0x^2+y^2-2xy-6x+6y+9=0(x^2+y^2-2xy)-6(x-y)+9=0(x-y)^2-6(x-y)+9=0(x-y-3)^2=0x-y-3

x²+2x+1+y²-6y+9=0(x+1)²+(y-3)²=0∴x+1=0y-3=0∴x=-1y=3

(x平方+y平方)平方-y平方=x平方+6所以（x²＋y²）²-（x²＋y²）-6=0（x²＋y²＋2）（x²＋y

问题求什么?再问：求x加y的值再答：x^2-2x+1+y^2-6y+9=0(x-1)^2+(y-3)^2=0x=1y=32x+3y=11

x+y-2=x^2+axy+by^2-5x+y+6x+y-2是x^2+axy+by^2-5x+y+6的因式当x+y-2=0时,x^2+axy+by^2-5x+y+6=0令x=y=1,x+y-2=0x^

x=-4y=-3=-516

x的平方加y的平方加2x-6y+10=0即：(x+1)^2+(y-3)^2=0所以：x=-1,y=3.所以：x+y=2.

由已知得(X-2)^2+(2Y+1)^2=0则X=2,Y=-1/2代入计算即可(后面的表达式看不大清楚)

由题意可得x²+y²+2x+6y+10=0（x+1）²+（y+3）²=0所以x=-1,y=-3

根据（x+y)2=x2+y2+2xy,可得x2+y2=13