x^2+y^2-5x=44-2y

解答

x^{2} + y^{2} - 5 x = 44 - 2 y

(a, b) = (\frac{5}{2}, - 1), r = \frac{205}{2}

求解步骤

x^{2} + y^{2} - 5 x = 44 - 2 y

将

x^{2} + y^{2} - 5 x = 44 - 2 y

改写为圆标准方程

(x - \frac{5}{2})^{2} + (y - (- 1))^{2} = (\frac{205}{2})^{2}

因此圆的性质是:

(a, b) = (\frac{5}{2}, - 1), r = \frac{205}{2}

(x^{2} + 4 x) + (y^{2} + 4 y) = 9

(x - 3)^{2} + (y + 2)^{2} = 17

x^{2} + y^{2} - 16 x + 8 y + 64 = 0

4 x^{2} + 4 y^{2} - 6 x + 10 y = \frac{1}{2}

(x + 15)^{2} + (y - 12)^{2} = 64