6y的平方加7y加6等于0用因式分解法-搜答案-搜狗做题网

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

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

再答：谢谢

x^2+2x+y^2-6y+10=0可以化解为（x+1)^2+(y-3)^2=0,等价于x+1=0且y-3=0,所以有x=-1,y=3,故x^3*y=-3.

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^2+y^2-6x+4y+13=0(x-3)^2+(y+2)^2=0所以x=3y=-2x^y=3^(-2)=1/9

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

因为X^2+Y^2+6X-4Y+13=0,将上式的13拆成4+9,然后配成两个完全平方式相加的形式.得到（X+3)^2+(Y-2)^2=0,由完全平方式的非负性,得到X+3=0;Y-2=0.解得X=-

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

X²+Y²-6X+4Y+13=0(X²-6X+9)+（Y²+4Y+4)=0(X-3)²+(Y+2)²=0X-3=0;Y+2=0X=3,Y=-

(4x²+20x+25)+(y²+6y+9)=0(2x+5)²+(y+3)²=0所以2x+5=0,y+3=0x=-5/2,y=-3所以x+y=-11/2

问题那个4y和6y里面有个应该是4x.x^2+y^2-4x+6y+13=0x^2-4x+4+y^2+6y+9=0(x-2)^2+(y+3)^2=0所以x=2,y=-3.因此x+y=-1

x的平方加y的平方减4x加6y加13等于0x^2+y^2-4x+6y+13=0(x^2-4x+4)+(y^2+6y+9=0(x-2)^2+(y+3)^2=0x-2=0,y+3=0x=2,y=-3x+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^2+y^2+6y+13=0则x^2+(y+3)^2+4=0可能吗?是不是题目看错啦!

x²+y²+z²-2x-4y-6z+14=0(x-1)²+(y-2)²+(z-3)²=0因为每个平方数都≥0,它们之和为0,那么它们每个都为

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

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