2x^2+2y^2+3x+5y=5

解

2 x^{2} + 2 y^{2} + 3 x + 5 y = 5

(a, b) = (- \frac{3}{4}, - \frac{5}{4}), r = \frac{37}{2 2}

解答ステップ

2 x^{2} + 2 y^{2} + 3 x + 5 y = 5

2 x^{2} + 2 y^{2} + 3 x + 5 y = 5

を標準的な円のequationの形式で書き換える

(x - (- \frac{3}{4}))^{2} + (y - (- \frac{5}{4}))^{2} = (\frac{37}{2 2})^{2}

ゆえに円の特性は:

(a, b) = (- \frac{3}{4}, - \frac{5}{4}), r = \frac{37}{2 2}