16x^2+16y^2+19x-40y=315

解答

16 x^{2} + 16 y^{2} + 19 x - 40 y = 315

(a, b) = (- \frac{19}{32}, \frac{5}{4}), r = \frac{22121}{32}

求解步骤

16 x^{2} + 16 y^{2} + 19 x - 40 y = 315

将

16 x^{2} + 16 y^{2} + 19 x - 40 y = 315

改写为圆标准方程

(x - (- \frac{19}{32}))^{2} + (y - \frac{5}{4})^{2} = (\frac{22121}{32})^{2}

因此圆的性质是:

(a, b) = (- \frac{19}{32}, \frac{5}{4}), r = \frac{22121}{32}

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