已知实数x,y满足2x的平方+6xy+9y的平方-2x+1=0,试求x,y的值实数x,y满足2x^2+6xy+9y^2-2x+1=0,试求x,y的值

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已知实数x,y满足2x的平方+6xy+9y的平方-2x+1=0,试求x,y的值实数x,y满足2x^2+6xy+9y^2-2x+1=0,试求x,y的值
已知实数x,y满足2x的平方+6xy+9y的平方-2x+1=0,试求x,y的值
实数x,y满足2x^2+6xy+9y^2-2x+1=0,试求x,y的值

已知实数x,y满足2x的平方+6xy+9y的平方-2x+1=0,试求x,y的值实数x,y满足2x^2+6xy+9y^2-2x+1=0,试求x,y的值
2x^2+6xy+9y^2—2x+1=0
x^2+6xy+9y^2+[x^2-2x+1]=0
[x+3y]^2+[x-1]^2=0
x+3y=0
x-1=0
x=1
y=-1/3
xy=-1/3

(x+3y)^2+(x-1)^2=0
即x+3y=0,x-1=0
得x=1,y=-1/3