X^2+y^2-6x-2y+1=0

解方程X^2+y^2-6x-2y+1=0

解题X^2+y^2-6x-2y+1=0 方程

简化
X2 + y2 + -6x + -2y + 1 = 0

重新排序条件:
1 + X2 + -6x + -2y + y2 = 0

解：
1 + X2 + -6x + -2y + y2 = 0

求解变量 'X'.

移动所有含x 的放右边，所有其它条件放左边.

增加 '-1' 到方程的每一侧.
1 + X2 + -6x + -2y + -1 + y2 = 0 + -1

重新排序条件:
1 + -1 + X2 + -6x + -2y + y2 = 0 + -1

结合相似条件: 1 + -1 = 0
0 + X2 + -6x + -2y + y2 = 0 + -1
X2 + -6x + -2y + y2 = 0 + -1

结合相似条件: 0 + -1 = -1
X2 + -6x + -2y + y2 = -1

增加 '6x' 到方程的每一侧.
X2 + -6x + -2y + 6x + y2 = -1 + 6x

重新排序条件:
X2 + -6x + 6x + -2y + y2 = -1 + 6x

结合相似条件: -6x + 6x = 0
X2 + 0 + -2y + y2 = -1 + 6x
X2 + -2y + y2 = -1 + 6x

增加 '2y' 到方程的每一侧.
X2 + -2y + 2y + y2 = -1 + 6x + 2y

结合相似条件: -2y + 2y = 0
X2 + 0 + y2 = -1 + 6x + 2y
X2 + y2 = -1 + 6x + 2y

增加 '-1y2' 到方程的每一侧.
X2 + y2 + -1y2 = -1 + 6x + 2y + -1y2

结合相似条件: y2 + -1y2 = 0
X2 + 0 = -1 + 6x + 2y + -1y2
X2 = -1 + 6x + 2y + -1y2

简化
X2 = -1 + 6x + 2y + -1y2

重新排序条件:
1 + X2 + -6x + -2y + y2 = -1 + 6x + 2y + -1y2 + 1 + -6x + -2y + y2

重新排序条件:
1 + X2 + -6x + -2y + y2 = -1 + 1 + 6x + -6x + 2y + -2y + -1y2 + y2

结合相似条件: -1 + 1 = 0
1 + X2 + -6x + -2y + y2 = 0 + 6x + -6x + 2y + -2y + -1y2 + y2
1 + X2 + -6x + -2y + y2 = 6x + -6x + 2y + -2y + -1y2 + y2

结合相似条件: 6x + -6x = 0
1 + X2 + -6x + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
1 + X2 + -6x + -2y + y2 = 2y + -2y + -1y2 + y2

结合相似条件: 2y + -2y = 0
1 + X2 + -6x + -2y + y2 = 0 + -1y2 + y2
1 + X2 + -6x + -2y + y2 = -1y2 + y2

结合相似条件: -1y2 + y2 = 0
1 + X2 + -6x + -2y + y2 = 0

无法确定此方程的解.

　更新:20210423 104023

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